Solve the following system using the Elimination Method; 6x+y=10 and 2x+y=12.

Answers

Answer 1

Hey there!

The solution to the system is [tex](\frac{1}{2}, 13)[/tex]

To solve the system, we can multiply the second equation by -1:

[tex]-2x - y = -12[/tex]

Then, we add the two equations together, and solve for x:

[tex]4x = -2[/tex]

[tex]x = \frac{-1}{2}[/tex]

Now, we plug the x value into one of the equations, and solve for y:

[tex]2(\frac{1}{2} ) + y = 12[/tex]

[tex]-2 + y = 12[/tex]

[tex]y = 13[/tex]

Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]

Hope it helps and have an amazing day!

Answer 2

Answer:

(-1/2, 13)

Step-by-step explanation:

Multiply the 2nd equation by -1, obtaining the following system:

6x + y = 10

-2x  - y = -12

------------------

Combine like terms, obtaining:

6x + y = 10

-2x  - y = -12

------------------

4x     = -2

Dividing both sides by 4 yields x = -2/4, or x = -1/2

Substituting -1/2 for x in the second equation yields:

2(-1/2) + y = 12, or

-1 + y = 12.  Then y = 13, and the solution is

(-1/2, 13)


Related Questions

Find the value of c that makes the expression a perfect square trinomial. x^2+10x+c A. 20 B. 25 C. 50 D. 100

Answers

Answer:

The answer is B.

Step-by-step explanation:

In the options, 25 is perfect square of 5 and 100 is square of 10.

So when 5 + 5, you will get 10 which is the 2nd term of the expression.

(EXTRA POINTS!!!). Margaret spins each spinner below once.
What is the probability of
both spinners landing on a number greater than 8?

A. 1/3
B. 1/6
C. 1/9
D. 1/12

Answers

Answer:

the answer is A

Step-by-step explanation:

Part A


How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.







PLS HELPP PLSSSSSSSSSSs


Part B


If Marcus’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.

Answers

3x2x3+2=
Then times the answer u get by 3

Answer:

A) How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.  

Answer: If David’s dad wanted to cover the rectangular side of the tent, he would need to multiply the sides together. Using the formula A = l x w, I can solve for 6 and 9. 9 x 6 = 54, so 54 = 6 x 9.  

B) If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need?  Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.

Answer: If he wanted to re-cover the whole tent, he would need the product of the rectangular side, the triangular side, and the bottom side. Using A = l x w, I can solve for each side of the tent, For the rectangular side you multiply six by nine, then multiply two by the product. 6 x 9 = 54 x 2 = 108. For the triangular side, I need to multiply six times seven, 6 x 7 = 42. For the bottom, I need to multiply seven times nine, 7 x 9 = 63. Finally, I need to add them all up. 108 + 42 + 63 = 213 ft².                    

 

C) What is the volume of the tent?  Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism.) V=Bh, where B = area of one of the triangular bases

Answer: I need to find the volume of the tent, so I need to find the formula which is V = B x h. The base is 63, because I needed to find the area of one of the triangular bases, so I multiplied 7 x 9 = 63. The height is 6, so I need to multiply 63 x 6. When I multiply 63 x 6, I get the product of 378, so the volume of the tent is 378 ft³.

the ratio of 48 patients 6 nurse​

Answers

Answer:

8:1

Step-by-step explanation:

Do 48/6 to find the ratio

Answer
8 patients for every 1 nurse AKA
8:1
Why
48/6 is 8 so

can somebody help with this.?

Answers

I believe it only has one solution

what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?

Answers

8x3 = 24..................

OKKKKKKKK THIS ON TOO PLS ANSWER

Answers

Answer:

the answer should be shape

10,9, 23, 68, 70, 4, 12,4
What is the median for this set of numbers?

Answers

The median is 11. Hope this helps!
The median is 11
Refer to below for process

Each day that Samantha rides the train to work, she pays $4.00 each way. If Samantha takes the train to work and back 3 times, which amount represents the change in her money?​

Answers

Answer:

Total ticket expenses = $24

Step-by-step explanation:

Given:

Each way cost = $4

Total ways = 3 x 2 = 6 times

Find:

Total ticket expenses

Computation:

Total ticket expenses = Each way cost x Total ways

Total ticket expenses = 4 x 6

Total ticket expenses = $24

mr martin has 36 calculators in a box. The ratio of the ordinary calculators to the scientific 5:1. How many of each calculator does he have

Answers

Answer:

180 calculators.

Step-by-step explanation:

She has 180 calculators because if you were to un - simplify 5:1 you would get 180:5 and you would use the first number. So, you have 180 calculators.

Sorry if this is wrong I tried my best.

An architect is making a model of a building she is designing. The kitchen will be 8 feet by 14 feet. The scale she is
using for the model is 3 inches = 2 feet.

Answers

Answer:

12 inches by 21 inches

Step-by-step

Let's start with the 8 feet

for every 2 feet add three inches you get a total of 12 inches

same for the 14 feet, you get 21 inches

6+8b-2b^2+3b^4
The polynomial in standard form is _​

Answers

Answer:

3b^4−2b^2+8b+6

OPEN ENDED QUESTION
What is (-3)2?

Answers

Answer:

-6(?)

Step-by-step explanation:

-3 times 2 is -6. But why is this open ended?

Answer:

-6

Step-by-step explanation:

three twos

add the negative

Which equation could be a true statement by substituting n with a number greater than 10? A 10=n + 1/2. B 10=2n. C 10= n - 0.5. D 10 = 2 ( divided) n

Answers

Answer:

I can't read it.

Step-by-step explanation:

Help! Find the measure of each angle indicated

Answers

Answer:

40 degrees

Step-by-step explanation:

Answer should be 40. Vertical angles dictate that it should be 36. Then if you find the full like with the 76, the other part is 104. Add 104 and 36, which gets you 140. A triangle is 180, so you subtract 140 from 180 and get 40.

I am thinking of a 3 digit number when I divide it by 5 I am left with a remainder of 3 when I divide it by 10 I am left with a remainder of 8 it rounds to 200 to the nearest 100 it had one hundrred whatt is my number

Answers

9514 1404 393

Answer:

  any of 158, 168, 178, 188, 198

Step-by-step explanation:

If the remainder is 8 when divided by 10, the least-significant digit must be 8. (That will guarantee that division by 5 will give a remainder of 3.)

In order for a number with one hundred to round to 200 when rounded to the nearest 100, the tens digit must be 5 or larger. There are 5 numbers that meet  these criteria:

  158, 168, 178, 188, 198

Please help this is due in afew hours

Answers

Answer:

We can write the equation for the first part of this problem as:

16

+

4

x

=

10

+

14

We can now solve for  

4

x

:

16

+

16

+

4

x

=

16

+

24

0

+

4

x

=

8

4

x

=

8

To find the value of  

8

x

we can multiply each side of this equation by  

2

:

2

×

4

x

=

2

×

8

8

x

=

16

Step-by-step explanation:

Please help ASAP :) thank you

Answers

Answer:

B

Step-by-step explanation:

since from -2 it starts to be a straight line and ends at 1

I will give brainless soo please help Question 1 (5 points)
Saved
(04.01 LC)
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 22 ounces of potato chips for $3.49
Choice B: 40 ounces of potato chips for $4.79
1) Choice A
2) Choice B
3) The unit rates are equal.
4) The unit rates cannot be determined.

Answers

Answer:

Estoy muy triste por tener que regalar a mi perro.

the bottom of a ladder is placed 4 feet from the side of a building. the top of the ladder must be at least 13 feet off the ground what is the shortest ladder that will do the job




A : 10ft

B : 12ft

C : 14ft

D : 16ft

Answers

B correct me if I’m wrong
it’s b. i had this question for one of my tests.

In the triangle below, with right angle A, suppose that m is Angle B=(5x+7) and m is Angle C=(4x+29) Find the degree measure of each angle in the triangle. A= 90 B=(5x+7) C=(4x+29)

Answers

Given:

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^\circ[/tex]

[tex]m\angle C=(4x+29)^\circ[/tex]

To find:

The degree measure of each angle in the triangle.

Solution:

According to the given information,

[tex]m\angle A=90^\circ[/tex]

[tex]m\angle B=(5x+7)^\circ[/tex]

[tex]m\angle C=(4x+29)^\circ[/tex]

Now,

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]        (Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ[/tex]

[tex](9x+126)^\circ=180^\circ[/tex]

[tex]9x+126=180[/tex]

[tex]9x=180-126[/tex]

[tex]9x=54[/tex]

Divide both sides by 9.

[tex]x=\dfrac{54}{9}[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle A=90^\circ[/tex]

[tex]m\angle B=(5(6)+7)^\circ[/tex]

[tex]m\angle B=37^\circ[/tex]

[tex]m\angle C=(4(6)+29)^\circ[/tex]

[tex]m\angle C=53^\circ[/tex]

Therefore, the measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

(6×-5)°× (×+9)°w(4×)°y

If p=1/3 what is 12p

Answers

Step-by-step explanation:

Given

[tex] p \: = \frac{1}{3} \\ 12p \: = 12 \times \frac{1}{3} \\ = 4[/tex]

Hope it will help :)

Answer:

4

Step-by-step explanation:

as p = 1/3

12p = 12×*(1/3) [because p =1/3]

= 12/3

= 4

What is the value of 10 – x – 7 when the value of x is 3?

Answers

Answer: the value is 0

Step-by-step explanation:

we simply substitute the letter for the number 3.

10 - 3 - 7

7 - 7

0

the answer 0 hope it helps

[tex]2\frac{1}{2} divided \frac{1}{4}[/tex]

Answers

Answer:

10

Step-by-step explanation:

[tex]2\frac{1}{2}[/tex] ÷[tex]\frac{1}{4}[/tex]

change the mixed fraction to proper fraction

(2 * 2)+1   / 2

= 5/2

5/2 * 4/1

=20/2

10

Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?​

Answers

Answer:

65 parlings

Step-by-step explanation:

Use ratios:

7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65

Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27

Answers

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.

Merrida’s Driving Time and Distance
Miles
Hours
140
4
175
5
210
6

How many miles did she travel each hour?
23 miles per hour
35 miles per hour
42 miles per hour
53 miles per hour

Answers

Answer:

35 miles per hour.

Step-by-step explanation:

140÷4=35

!75÷5=35

210÷6=35

Answer:

❌23 miles per hour

✅35 miles per hour

❌42 miles per hour

❌53 miles per hour

Go follow me on T I k T o k  aiyana_parker

What is the values of 6.6.6.6

Answers

Step-by-step explanation:

I just need points sorry

Answer:

1296

Step-by-step explanation:

6 times 6 = 36 and 36 times 6=216 and 216 times 6 = 1296

if 1 ad was 30 seconds and it gave me 10 gold how much gold will i have in 10 hours

Answers

Answer:

you would have 12000 gold

Step-by-step explanation:

Work needs to be shown please someone help and don’t answer for your benefit with no intention to help

Answers

Answer:

[tex]\frac{x+3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex]           Factor the expressions that are not already factored.

=

[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex]           Cancel out x+7 in both numerator and denominator.

=

[tex]\frac{x+3}{x+2}[/tex]

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