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14 December, 20:06

Solve each system by substitution

2x + y = 8

y = x - 7

I need the coordinates; ^;

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Answers (1)
  1. 14 December, 20:32
    0
    x = 5

    y = - 2

    Explanation:

    2x + y = 8

    y = x - 7

    We need are solving for x, and we know what y is

    We need to substitute the y equation for y in the first equation

    2x+x-7=8

    Step 1: Simplify both sides of the equation.

    2x+x-7=8

    2x+x+-7=8

    (2x+x) + (-7) = 8 (Combine Like Terms)

    3x+-7=8

    3x-7=8

    Step 2: Add 7 to both sides.

    3x-7+7=8+7

    3x=15

    Step 3: Divide both sides by 3.

    3x / 3 = 15 / 3

    x = 5

    Solve for y

    2x + y = 8

    2 * 5 + y = 8

    Step 1: Simplify both sides of the equation.

    (2) (5) + y=8

    10+y=8

    y+10=8

    Step 2: Subtract 10 from both sides.

    y+10-10=8-10

    y=-2
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