Graham graphs the following system of equations to determine its solution. 2x + 4y = 12 2x – y = 2 What is the

Question

Graham graphs the following system of equations to determine its solution.

2x + 4y = 12
2x – y = 2

What is the correct solution?

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ASAP plz

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Diễm Thu 5 years 2021-08-29T09:20:15+00:00 1 Answers 9 views 0

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    2021-08-29T09:21:40+00:00

    Answer: (2,2)

    Step-by-step explanation:

    I’m going to use substitution to solve this:

    First, I use the second equation to solve for y in terms of x.

    2x – y = 2

    -y = 2 – 2x

    y = 2x – 2

    Then, I plug the value for y into the first equation:

    2x + 4y = 12

    2x + 4(2x – 2) = 12

    2x + 8x – 8 = 12

    10x – 8 = 12

    10x = 20

    x = 2

    Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

    2x + 4y = 12

    2(2) + 4y = 12

    4 + 4y = 12

    4y = 8

    y = 2

    We get the point (2,2) as a solution.

    Note: This is the point where both lines intersect.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )