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11 April, 03:49

What is the solution to the system of equations?

2x+3y=-11y=x-2

y=x-2

A) - 1, -3)

B) (-1, 3)

C) (511, -311)

D) (-1, -1)

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Answers (1)
  1. 11 April, 06:26
    0
    (-1, - 3)

    Step-by-step explanation:

    I have taken the liberty of rewriting your post:

    2x+3y=-11y=x-2

    y=x-2

    as:

    2x+3y = - 11

    y=x-2

    In the first equation, substitute x - 2 for y, obtaining:

    2x + 3 (x - 2) = - 11

    Performing the indicated multiplication yields:

    2x + 3x - 6 = - 11

    Combining like terms yields:

    5x = - 5

    Solving for x: x = - 5/5 = - 1

    Knowing that x = 1, we can now find y from the second equation:

    y = (-1) - 2 = - 3

    Then the solution is (-1, - 3).
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