Solve each system of linear equations by elimination.

3x-2y=3
-x+y=1​

Answers

Answer 1

Answer:

x=5, y=6

Step-by-step explanation:

Double the second equation to give you:

-2x+2y=2

Now we add the 2 equations to eliminate the y:

3x-2y=3

  +

-2x+2y=2

x=5

Now we substitute this value to give us:

3(5)-2y=3

15-2y=3

-12=-2y

y=6
You can substitute both these values in equation 2 to see if it works:

-x+y=1

-(5)+6=1 ✅


Related Questions

Tim's family is visiting Emeryville. They plan to see a movie and then explore the town. The
movie will cost the family $48, and parking costs $8 per hour.
How long will the family be able to spend in Emeryville if they want to spend less than $80 and
they don't have any other expenses?

Answers

Answer:

4 hours

Step-by-step explanation:

the cost of movie is $48

means they have $32 left with them

parking charge is $8 (32/8= 4)

means they can spend 4 hours in Emeryville

Can you help me please!

Answers

Answer: 0 = 0 and/or Infinitely Many Solutions

Step-by-step explanation:

When solving this equation we want to find x then substitute the answer we find for x to see if both sides are equal to the same number.

So once we find x replace x with that number: x = 8

Rewrite equation: [tex]-24+3(8)=16-2(8)[/tex]

So we solve          [tex]-24+24=16-16\\0=0[/tex]      

Since both sides are equal the answer would be Infinitely Many Solutions

Rasheed is buying wings and quesadillas for a party. A package of wings costs $8. A package of quesadillas costs $10. He must spend no more than $160. Rasheed’s freezer will hold a maximum of 20 packages of wings and quesadillas.

Write a system of linear inequalities to represent the situation

Answers

Answer:

8x+10y=160

Step-by-step explanation:

x could equal 20 and y can be 0 or x can be 0 and y is 16.

Simplify and state the domain for x^2-x-12/x-4​

Answers

The domain of a function is the set of input values the function can take

The domain is all set of real numbers

How to determine the domain

The expression is given as:

[tex]\frac{x^2 - x - 12}{x - 4}[/tex]

Factorize the numerator of the expression

[tex]\frac{(x - 4)(x + 3)}{x - 4}[/tex]

Simplify: Cancel out the common terms

[tex]x + 3[/tex]

The above expression can take any value of x.

Hence, the domain is all set of real numbers

Read more about domain at:

https://brainly.com/question/2264373

how does 4(x + 2) = - 4 equals to x = -3

you have to get X alone

Answers

Answer:

Explained below

Step-by-step explanation:

4(x + 2) = - 4

Let's solve:

4(x + 2) = - 4

4(x) + 4(2) = - 4

4x + 8 = - 4

    - 8     - 8

4x = -12

/4     /4

x = -3

Hope this helps!

What sum is represented by the following number line?

A.) 2 3/4 +(-4 3/4) =-1 2/4
B.) 2 3/4 + (-4 1/4) = -1 2/4
C.) -1 1/2 + 2 3/4 = 4 1/4
D.) 2 3/4 + (-3 1/4) = -1 2/4

Answers

Answer:

B.) 2 3/4 + (-4 1/4) = -1 2/4

Step-by-step explanation:

blue line: forward with positive +[tex]2\frac{3}{4}[/tex]

red line: backward with negative -[tex]4\frac{1}{4}[/tex]

so the number line follows: [tex]2\frac{3}{4}[/tex] + -[tex]4\frac{1}{4}[/tex] = -1 2/4

Step-by-step explanation:

Mark the end of arrows

2-3/4-4-1/4

So add them

[tex]\\ \tt\hookrightarrow 2\dfrac{3}{4}+(-4\dfrac{1}{4})=-1\dfrac{2}{4}[/tex]

Find the next two terms in this sequence, 4,8 ,16

Answers

32
The sequence is going by each number so 4+4= 8
8+8= 16
Now 16+16= 32

Answer:

32, 64

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

[tex]\frac{8}{4}[/tex] = [tex]\frac{16}{8}[/tex] = 2

to obtain a term in the sequence multiply the previous term by 2

16 × 2 = 32

32 × 2 = 64

Square ABCD is divided into 5 rectangles that all have the same area. FH = 20 and CK = KD. Find the length of BE.

Answers

Answer:

8cm

Step-by-step explanation:

The area of a shape is the amount of space it can occupy.

The length of BE is 8 units

The question is incomplete.

So, I will give a general solution

Assume that the length BE is 2/5 of length FH.

Then the length BE would be:

BE = 2/5 * FH

Substitute 20 for FH

BE = 2/5 * 20

Evaluate the product

BE = 8

Using the assumed value, the length of BE is 8 units

Read more about areas at:

https://brainly.com/question/24487155

Find the area of the shape.
Either enter an exact answer in terms of π or use 3.14and enter your answer as a decimal.

some one plssssss

Answers

Answer:

50.24 units^2

Step-by-step explanation:

A=(3.14)(4)^2

Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discounted price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $27)

Answers

The price is $27.00

Step-by-step explanation:

First you find 40% of 60 which is 24.

Next you subtract 24 from 60 (60-24) which equals 36.

Then you find 25% of the discounted price (36) which is 9.

Finally you subtract 9 from 36 (36-9) which is 27.

Conclusion:

So therefore the answer is $27.00.

I don't care if I get brainlyist just glad I could help :)

Keisha is buying a pair of jeans that are regularly

$54.99. If they are on the clearance rack for 35%

off and sales tax is 7.2%, what is the total amount

she will pay?

Answers


The answer is 20.64 dollars


andres is 1.65 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 40.15 meters. He stands 35 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

Answer:

Step-by-step explanation:

For the given data the height of the tree will be 12.86.

What is the triangle?

A triangle is a three-sided polygon having three edges and three vertices in terms of geometry. The sum of the inner angles of the triangle is 180°.

Given that, Andrés is 1.65 meters tall, this is obvious. He determines the length of a tree's shadow at 2 p.m. to be 40.15 meters. The tip of his shadow touches the tip of the tree's shadow while he stands 35 meters away from the tree.

Since the triangle ABC and ADF are similar, their ratio will be the same.

Suppose the height of the tree to the nearest hundredth of a meter will be x.

5.15/40.15=1.65/x

5.15x=1.65× 40.15

5.15x=66.2475

x=66.24/5.15

x=12.86

Thus, the height of the tree will be 12.86.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

A store pays $5 for a computer mouse and marks the price up by 45% what is the amount of the mark-up

Answers

Should be 8 not sure

Answer:

Mark-up = $2.25

Total price after mark-up = $7.25

Step-by-step explanation:

Well, 45% of $5 is $2.25, so now you just add that back to the total, which would be $7.25.

There are 50 lifeguards working at a beach on a certain day there were 20 lifeguards working what percent of the lifeguards were working that day

Answers

Answer: 40 percent

Step-by-step explanation:

To get percentage you divide the part by the whole, so you do 20 divided by 50, which is 40 percent.

50 lifeguards total
20 present

Answer:

40 percent

6 × 1 + 5 × 1/10 please answer

Answers

Answer: 13/2 or 6 1/2

Step-by-step explanation:

6 × 1 + 5 × 1/10

6 + 5 x 1/10 <-- Reduce 5 and 10 in 1/10 by the GCF, 5

6 + 1/2

Use 2 as a common denominator so multiply 6 by 2

12/2 + 1/2

13/2 or 6 1/2

I need help!!!! Evaluate 4/7 + 8/3 in fraction form

Answers

Answer:

3 5/21.68/21

Step-by-step explanation:

Given equation:

4/7 + 8/3

Solve:

4/7 + 8/3= 12/21 + 56/21= [tex]\frac{12 + 56}{21 + 0}[/tex]= 3 5/21.= 68/21.

10 points for answer

Answers

The answer is 66 students

If cosθ = [tex]\frac{2}{\sqrt{19} }[/tex] and angleθ is in Quadrant I, what is the exact value of tan2θ in simplest radical form???

Answers

we know that θ is in the I Quadrant, namely that cosine as well as sine are both positive, well, we know that

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{2}}{\underset{hypotenuse}{\sqrt{19}}}\qquad\qquad \textit{let's get the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{(\sqrt{19})^2-2^2}=b\implies \pm\sqrt{19-4}=b\implies \pm\sqrt{15}=b\implies \stackrel{I~Quadrant}{+\sqrt{15}=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]tan(\theta)=\cfrac{\stackrel{opposite}{\sqrt{15}}}{\underset{adjacent}{2}}~\hspace{10em} tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)} \\\\[-0.35em] ~\dotfill\\\\ tan(2\theta)=\cfrac{2\cdot \frac{\sqrt{15}}{2}}{1-\left( \frac{\sqrt{15}}{2} \right)^2}\implies tan(2\theta)=\cfrac{\sqrt{15}}{1-\frac{15}{4}}\implies tan(2\theta)=\cfrac{\sqrt{15}}{~~\frac{4-15}{4}~~} \\\\\\ tan(2\theta)=\cfrac{\sqrt{15}}{~~ \frac{-11}{4}~~}\implies tan(2\theta)=-\cfrac{4\sqrt{15}}{11}[/tex]

please help meeeeee
Grace takes out a loan of $9,573.00 at a 4% simple rate for 4 years. a) How much interest will be paid after 2 years? b) How much total interest will be paid for this loan?​

Answers

Principal=P=9573$Rate of interest=4%=R

#1

Time=T=2yrs

Interest be I

[tex]\\ \rm\hookrightarrow I=PRT/100[/tex]

[tex]\\ \rm\hookrightarrow I=9573(4)(2)/100=76584/100=765.84\$[/tex]

#2

T=4yrs

[tex]\\ \rm\hookrightarrow I=9573(4)(4)/100=153168/100=1531.68\$[/tex]

Answer:

a) $765.84

b) $1,531.68

Step-by-step explanation:

Simple interest formula:  SI = PRT

where P = principal amount of loan, R = annual rate of Interest in decimal format, and T = Time.

Given:

P = 9573R = 4% = 4/100 = 0.04

a) when T = 2:  

SI = 9573 x 0.04 x 2 = 765.84

b) when T = 4:  

SI = 9573 x 0.04 x 4 =  1531.68

find the nth term in the sequence:
-5, -2, 3, 10, 19

Answers

Answer:

75

Step-by-step explanation:

Start by adding 3 then each time add an odd number to the sequence

First time add 3 then add 5 then add 7 then add 9 etc.

so we have:

-5, -2, 3, 10, 19, 30, 43, 58, 75

so its 75

Please mark Brainliest :)

Answer:

The pattern in +3, +5, +7, +9, +11, +13, +15, +17, +19. . .

6th = 30

7th = 43

8th = 58

9th = 75

10th = 94

4. Eddie invests £4000 into a savings account, the bank pays him 4% compound
interest per annum. At the end of n years he has £4679.43 to the nearest
penny. What is the value of n?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 4679.43\\ P=\textit{original amount deposited}\dotfill &\pounds 4000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]

[tex]4679.43=4000\left(1+\frac{0.04}{1}\right)^{1\cdot t}\implies \cfrac{4679.43}{4000}=(1.04)^t \\\\\\ \log\left( \cfrac{4679.43}{4000} \right)=\log(1.04^t)\implies \log\left( \cfrac{4679.43}{4000} \right)=t\log(1.04) \\\\\\ \cfrac{\log\left( \frac{4679.43}{4000} \right)}{\log(1.04)}=t\implies 4\approx t[/tex]

-4
-3
-2
-1
0
1
1
2
3
4
b.
12
5
0
-3
-4.
у
-30
5 12

Answers

Answer:

Linear Regression: y = 0x + 2.67

Quadratic Regression: y = 1x^2 + 0x - 4

Step-by-step explanation:

USE STATS CALCULATOR

Select each ordered pair that is a member of the function h(n)=3n^2-n​

Answers

it's was helpful to you

# be careful#

HELP! Problem- Tim has a rectangular garden with an area of 36.63 square meters. The length of the garden is 4.5 meters. What is the width, in meters, of the garden?
A. 8.14
B. 11.42
C. 12.16
D. 30.62

Answers

Width = 8.14 meters
Shape: Rectangle
Formula: A = Length•Width
(WORK SHOWN BELOW)

Guys, I need help with my last 2 weeks of my math word problem homework from The Hung Vuong Learning Centre Incorporated as soon as possible!! I'll give you 100 points in order for you to answer to my last 2 weeks of my math word problem homework package from The Hung Vuong Learning Centre Incorporated and I’ll give you a Brainliest award if your answers with the best efforts and explanations, so here it is, please listen up and pay attention to me without ignoring my last year’s math homework package from The Hung Vuong Learning Centre Incorporated for no reason! :D

The question #11 from 4.5 Modelling With Algebra Section is Sally, Letitia, and Jessica play together on a basketball team. Now at the end of the season, Sally has been scored 8 more points than Letitia, while Letitia has been scored just twice as many points as Jessica. The 3 girls scored a total of 108 points. How many points did an each girl score?

Please answer to my math word problem question as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D

Well anyways, guys, good luck on answering my math word problem question of my last 2 weeks of my math word problem homework from The Hung Vuong Learning Centre Incorporated in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)

Answers

Answer:

Jessica scored 20 points, Letitia scored 40 points, and Sally scored 48 points.

Step-by-step explanation:

Let x represent the points Jessica score then...

Letitia scored 2x points (twice as many as Jessica) and Sally scored 2x+8 (8 more than Letitia) points.

We can use this information to set up an equation:

x+2x+2x+8=108

Combine like terms

5x+8=108

Subtract 8 from both sides

5x=100

Divide both sides by 5

x=20 (Jessica)

2x=2(20)=40 (Letitia)

2x+8=2(20)+8=48 (Sally)

Jessica scored 20 points, Letitia scored 40 points, and Sally scored 48 points.

Question is in the picture

What's the ratio for tan B

Answers

Answer:

C. [tex]tan(B) =2[/tex]

Step-by-step explanation:

Here we can see tan(B) has a opposite side of 2 and adjacent of 1.

[tex]tan(B) = \frac{opposite}{adjacent}[/tex]

[tex]tan(B) = \frac{2}{1}[/tex]

[tex]tan(B) =2[/tex]

Answer:

[tex]\textsf{tan(B)}=2[/tex]

Step-by-step explanation:

The trig ratio for tan is tan(x) = O/A

where x is the angle,

O = side OPPOSITE to the angle, and

A = side ADJACENT to the angle

For angle B:

O = 2

A = 1

Therefore, [tex]\textsf{tan(B)}=\frac{2}{1}=2[/tex]

If x - 5y = 6, what is the value of y when
X= -4?
A:-2
B-2/5
C:2/5
D:2

Answers

Answer:

I think the answer is D. 2

Answer:

The answer is A

Step-by-step explanation:

x is equal to - 4

so the the x is replaced by the- 4 and then you will group like- items

Divide both sides by - 5 to get - 2

please help me lol a lil confused

Answers

[tex] \leadsto f( \rm x) = - (x - 3)(x - 5)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto f( \rm x) = - ( {x}^{2} - 5x - 3x + 15) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto f( \rm x) = - ( {x}^{2} - 8x + 15) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto f( \rm x) = - {x}^{2} + 8x - 15 \\ [/tex]

Answer:

3rd option is correct

Step-by-step explanation:

hope this helps you :)

0.9(x−20)=830
x=

0.9x+20=830
x=

Answers

Answer:

Step-by-step explanation:

1) x-20 = 830/0.9 = 8300/9

So x-20 = 8300/9 -> x=8300 /9 + 20 = 8480/9

2)try on your own

You are in need of a $7,500 loan, which you plan to repay over 5 years. Your credit score is currently 690. Using the rates and the online calculator below, determine how much your savings would be if your credit score were 700 instead of 690.

Answers

Answer:

$232.57

Step-by-step explanation:

1 year = 12 months

⇒ 5 years = 5 x 12 = 60 months

APR credit score of 700 or higher = 13.25%

(using the APR calculator) total payment over term of loan = $10,296.56

APR credit score of 699 or lower = 14.25%

(using the APR calculator) total payment over term of loan = $10,529.13

Savings = $10,529.13 - $10,296.56 = 232.57

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