Solve the system of equations below using the linear combination method (elimination). Then, check your work.
x-2y=2
x-y=6

Answers

Answer 1

Answer: Solution- (10,4)

Step-by-step explanation:

x-2y=2   x-y=6              x-2(4)=2

-1(x-y=6)                        x-8=2

-x+y=-6                         +8  +8

                                      x=10

x-2y=2                            

-x+y=-6                           10-2(4)=2

-y=-4                                10-8=2

-1   -1                                  2=2

y=4


Related Questions

Clay and his friend Lacey are making cookies for the school dance. Clay started early and has already made 3 dozen cookies. He can make an additional 2 dozen cookies an hour. Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour. If Lacey starts baking her cookies right away, how long will it take for her to have made as many cookies as Clay? How many cookies will they each have made?
HELP PLEASE

Answers

If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Clay and his friend Lacey are making cookies for the school dance.

Clay started early and has already made 3 dozen cookies.

He can make an additional 2 dozen cookies an hour.

Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.

Let y be the number of the cookies (in dozen) and x be the number of the hours.

Then the equations will be

y = 2x + 3 ...1

y = 4x       ...2

If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be

From equations 1 and 2, we have

2x + 3 = 4x

     2x = 3

       x = 1.5

Then the number of hours will be 1.5 hours.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

I have absolutely no idea what to do here. Can someone break this down for me please?

Answers

Answer:

Step-by-step explanation:

The task is to draw the parabola of the equation [tex]x^{2} -4x+4[/tex] on the given graph.

The first step we can take to doing this is to use the table on the left hand side to work out our x and corresponding y-values to use as plotting coordinates. To do this you want to substitute the given value for x which will give you a corresponding y-value.

E.g:

x | [tex]x^{2} -4x+4[/tex]      | y

0 | [tex](0)^{2} -4(0)-4[/tex] | -4

Here we have gotten the coordinates (0, -4) so this will be a point on the graph.

Repeat with all other values on the table and you should get a bunch of dots which lead upwards in a curved line from a point. Extend the lines to form a parabola shape (A u-shape).

Once you have drawn the graph, label the parts.

Roots: The places where the line crosses the x-axis

Vertex: The lowest point of the parabola

Line of symmetry: The vertical line in which the parabola reflects/ is the same either side (Has equation x=_).

y-intercept: The point where the line crosses the y-axis.

Hope this helped!

CAN SOMEONE PLS HELP ME

Answers

Answer:

no i cannot help you

Step-by-step explanation:

thats good

Simplify using basic trigonometric identities

Answers

Answer:

1.cosx×cscx

=cosx×1/sinx

=cosx/sinx

=cotx

2.cotx×secx×sinx

=1/tanx×1/cosx×sinx

=1/tanx×sinx/cosx

=1/tanx×tanx

=1

hope it helps you

I SWEAR IF YOU HELP ME ILL FRL LOVE YOU FOR FREAKING EVERRR

Answers

because were dealing with a right angle, both the angle of m1 and m2 two together should equal 90 degrees! therefore set up the equation as 8x + x - 9 = 90

we can simplify it to 9x = 99 (adding the x’s and adding the 9 to both sides)

so x = 11

great! now lets solve for the angles by plugging it in.

8(11) = 88 (m1)

(11)-9 = 2 (m2)

hope this helps!

What point can be found by taking the average of the endpoints of a line
segment?
O A. Endpoint
O B. Vertex
O C. Midpoint
O D. Center

Answers

Step-by-step explanation:

C. Midpoint

The average is the distance of the line divided by 2

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answers

Answer:  8.9

========================================================

Explanation:

Check out the diagram below.

a = 6.3 inchesb = 6.3 inchesc = unknown hypotenuse

Use the Pythagorean Theorem to find the length of c.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(6.3)^2 + (6.3)^2}\\\\c = \sqrt{39.69+39.69}\\\\c = \sqrt{79.38}\\\\c \approx 8.9095\\\\c \approx 8.9\\\\[/tex]

The distance from one corner to the opposite corner is about 8.9 inches.

Nguyen makes two slices through a three-dimensional object. One plane is parallel to the base; the cross-section is a square. The other plane is perpendicular to the base; the cross-section is a triangle. What three-dimensional shape did Nguyen cut?

Answers

Answer:

the answer to your question is pyramid

Which inequality can be used to represent this scenario? Sarah has a $50 gift card for her favorite online makeup delivery service. The delivery service has a one time fee of $3.85 and the subscription is $10.50 every month. How many months of this service can Sarah subscribe to with her gift card?

Answers

Answer:

50 = 3.85 + 10.5m

Step-by-step explanation:

50 = Total

m= months

A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.

( i will give brainlist ) What is the equation of the following graph?

Answers

Answer:

y= ⅓x +2

Step-by-step explanation:

Since the graph is a linear graph, let's use the slope-intercept form to find its equation.

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.

Thus, y= mx +2.

Let's find the slope of the graph.

First, identify 2 pairs of coordinates from the graph:

(0, 2) and (3, 3)

Next, substitute these coordinates into the slope formula below:

[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

slope

[tex] = \frac{3 - 2}{3 - 0} [/tex]

[tex] = \frac{1}{3} [/tex]

Thus, the equation of the graph is y= ⅓x +2.

A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?

Answers

Answer: 20

Step-by-step explanation: 12 1/2x10 1/3=20

PLEASE ANSWER 50 POINTS!!
what is [4^2+(5+3x4)]x3=

Answers

Answer:

[( 4² + 5 + 3 × 4 )] × 3

= ( 4 × 4 ) + 5 + 3 × 4 × 3

= 16 + 5 + ( 3 × 4 × 3 )

= 16 + 5 + ( 12 × 3 )

= 16 + 5 + 36

= 21 + 36

= 57

Answer:

99

Step-by-step explanation:

pemdas states:

PARENTHESIS

EXPONENTS

MULTIPLICATION/DIVISION (left to right)

ADDITION/SUBTRACTION (left to right)

the first equation you would do is 3*4 as it is in the most inner parenthesis and is a multiplication equation

3*4 = 12

then add 12 to 5

12 * 5 = 17

(4^2 + 17) * 3 is what you have left

the next thing you do is the exponent

4^2 is 4*4 or 16

then add 16 to 17

16 + 17 = 33

then at the end

you multiply it by 3

33 * 3 = 99

your answer is 99

(I will mark brainliest) Will 3/8 + 2/8 be closer to 1/2 or 1? How do you know?

Answers

Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

please help !!! its math problem i give brainlist What type of function is represented in the table below?

Answers

Answer:

linear is correct

Step-by-step explanation:

A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.

a. true
o
b. false

Answers

Answer:

false

Step-by-step explanation:

If Kate has an apple, an orange, a pear, a banana, and a kiwi at home and she wants to bring three pieces of fruit to school, how many combinations of fruit can she bring?
125
3!
10
5!

Answers

Answer:

it 5

Step-by-step explanation:

A phone case comes in 8 different colors, and you can also pick from 10 different patterns. If you can only pick one of each, how many different phone cases can there be

Answers

Answer:

80

Step-by-step explanation:

8 different colors multiplied by 10 different patterns

A box of chocolates contains 10 milk chocolates, 8 dark chocolates and 6 white chocolates. Sung randomly chooses a chocolate, eats it, then randomly chooses another. What is the probability Sung chose a milk chololate then a white chocolate

Answers

Using it's concept, it is found that there is a 0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Initially, there are 10 + 8 + 6 = 24 chocolates, out of which 10 are milk, hence the probability of eating a milk chocolate first is given by: [tex]\frac{10}{24} = \frac{5}{12}[/tex].Then, there will be 23 chocolates, out of which 6 will be white, hence the probability of eating a white chocolate first is given by: [tex]\frac{6}{23}[/tex].

Thus, the probability of milk then white is given by:

[tex]p = \frac{5}{12} \times \frac{6}{23} = \frac{30}{12 \times 23} = 0.1087[/tex]

0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Which expression could represent the phrase shown? (1 point)

"Add 4 and 5, divide the sum by 3, and then add the product of 6 and 5"

Group of answer choices

4 + 5 ÷ 3 + (6 x 5)

(4 + 5) ÷ 3 + 6 x 5

4 + (5 ÷ 3) + 6 x 5

4 + 5 ÷ (3 + 6 x 5)

Answers

Answer:

(4+5) ÷ 3 + 6 x 5

Step-by-step explanation:

pemdas

HELP PLEASE ILL GIVE BRAINLEST

Answers

Answer:

y= 40 degree

Step-by-step explanation:

ACD+CDA+DAC= 180 degree

y+ 90+30+20= 180 degree

y+140 = 180

y= 180- 140 degree

y= 40 degree

Hope it helps you :)))))

have a good day

I don't know what to do! please help!

Answers

Answer:

128

Step-by-step explanation:

As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.

Aaron took his car to the shop for an oil change. He dropped the car off at 2:34. Aaron came back to pick up his car 1 hour and 43 minutes later. What time was it when he picked up the car?

A.8:43
B.4:37
C.4:17
D.4:27

Answers

Answer:

c

Step-by-step explanation:

2.34 to 3.34 is 1hr

3.34 plus half an hour is 4.04 plus 13 mins

HELP PLEASE!!
5⁸/5³=

a. 5^-5
b. 1¹¹
c. 5⁵
d. 5 ¹¹​

Answers

I think c if it’s not right lmk

Answer:

C

Step-by-step explanation:

[tex] \frac{ {5}^{8} }{ {5}^{3} } \\ [/tex]

Now you may reduce the fraction

[tex] = {5}^{5} [/tex]

The patel family went to a festival. the family is made up of 2 adults and 3 children. admission to the festival is $22.00 for adults and $15.00 for children. how much did the family spend to enter the festival? the family spent $ .00 to enter the festival. please help d:

Answers

Answer:$89.00

Step-by-step explanation:22 times 2 is 44.

15 times 3 is 45.

44 plus 45 is 89

Answer:

$89.00

Step-by-step explanation:

2 adults = $22 x 2 = $44

3 children = $15 x 3 = $45

$44 + $45 = $89.00

Hope this helps!

Ali divided one fruit cake equally among six persons. What part of the cake he gave to each person? ​

Answers

Step-by-step explanation:

when we divide something equally among n people, it means we divide it equally into n parts, and every part is 1/n or 1 nth.

so, for six people or parts, everybody got 1/6 or 1 sixth of the cake.

A rectangle has an area of 48
48
square feet and a length of 12
12
feet.

Which answer choice shows the correct way to find
w
, the width of the rectangle?

CLEAR CHECK

12×==484 feet 12×w = 48 w = 4 feet



48−==1236 feet 48−w = 12 w = 36 feet



12×48==576 feet 12×48 = w w = 576 feet



2+24==4812 feet

Answers

Answer: i didnt understand the answer choice but the correct answer is 48/12=width. width=4

Step-by-step explanation:
as we know the area of a rectangle is area=length X width
so we plug in 48 as area and 12 as length

48=12 x width
48/12=width(divide both sides by 12)

Sam walks 100 m north and then 100 m east. How far is she from her starting position? Give your answer to a sensible degree of accuracy.

Answers

Answer- 200m

: Right now Sam is 200m far from her starting point

convert 221 quinary number into decimal number.​

Answers

Step-by-step explanation:

______________________

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

______________________

Hence the answer is 61....

______________________

CAN SOMEONE HELP ME PLS

Answers

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)

pls answer the question i am mark in brainlist​

Answers

Answer:

x = -2

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]

1. Cross-multiply

(x + 3)(x + 8) = (x + 5)(x + 4)

2. Distribute

⟹ (x + 3)(x + 8) = (x + 5)(x + 4)

⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

3. Combine like terms

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

⟹ x² + 11x + 24 = x² + 9x + 20

4. Subtract x² from both sides

⟹ x² - x² + 11x + 24 = x² - x²  + 9x + 20

⟹ 11x + 24 = 9x + 20

5. Subtract 24 from both sides

⟹ 11x + 24 - 24 = 9x + 20 - 24

⟹ 11x = 9x - 4

6. Subtract 9x from both sides

⟹ 11x = 9x - 4

⟹ 11x - 9x = 9x - 9x - 4

⟹ 2x = -4

7. Divide both sides by 2 to isolate the variable

⟹ 2x ÷ 2 = -4 ÷ 2

x = -2

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