Consider the following pair of equations: y = x + 4 y = −2x − 2 Explain how you will solve the pair of equations by substi

Question

Consider the following pair of equations:
y = x + 4
y = −2x − 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. There is no pic pls help xd

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King 3 years 2021-08-04T09:50:21+00:00 1 Answers 201 views 0

Answers ( )

  1. Sapo1
    -1
    2021-08-04T09:51:33+00:00
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    Answer:

    x is equal to -2, and y is equal to 2.

    Step-by-step explanation:

    You can solve this type of question by solving one of the equations for a given variable, and substituting it into another.

    Because both of these are definitions of y, we could simply say, y = y, and thus:

    x + 4 = -2x – 2

    3x = -6

    x = -2

    This tells us also that y, being equal to x + 4, must equal 2

    We can find the same solution by solving one of them for x, then substituting that into the other.  We know:

    y = x + 4

    so we can also say:

    x = y – 4

    If we substitute that into the other:

    y = -2x – 2

    y = -2(y – 4) – 2

    y = -2y + 8 -2

    3y = 6

    y = 2

    which we can then plug into either of the original equations to solve for x:

    y = x + 4

    2 = x + 4

    x = -2

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