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27 April, 09:16

Use substitution to find the solution

of this system of equations.

-2x + y=-5

2y + 3x = 4

+5
Answers (1)
  1. 27 April, 09:40
    0
    x = 2 y = - 1 or (2,-1)

    Step-by-step explanation:

    -2x + y = - 5

    Moved - 2x to the other side

    y = 2x - 5

    2y + 3x = 4

    Substitute y with 2x - 5

    2 (2x - 5) + 3x = 4

    Distribute

    4x - 10 + 3x = 4

    Combine the terms

    7x - 10 = 4

    Move the constant to the other side

    7x - 10 = 4

    +10 + 10

    7x = 14

    Divide both side by 7

    7x/7 = 14/7

    x = 2

    Back to - 2x + y = - 5

    Substitute the x with 2

    -2 (2) + y = - 5

    Combine the terms

    -4 + y = - 5

    Move the constant to the other side

    -4 + y = - 5

    +4 + 4

    y = - 1
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