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22 December, 09:46

Solve the system of equations.

x + 3y = - 1

2x + 2y = 6

(-4, 1)

(2, - 1)

(4, - 1)

(5, - 2)

+2
Answers (1)
  1. 22 December, 10:10
    0
    x + 3y = - 1

    2x + 2y = 6

    x + 3y = - 1

    x + 3y - 3y = - 1 + 3y

    x = - 1 + 3y

    2x + 2y = 6

    2 (-1 - 3y) + 2y = 6

    -2 - 6y + 2y = 6

    -2 - 4y = 6

    -2+2 - 4y = 6+2

    -4y = 8

    -4y/-4 = 8/-4

    y = - 2

    2x + 2y = 6

    2x + 2 (-2) = 6

    2x + - 4 = 6

    2x - 4 + 4 = 6+4

    2x = 10

    2x/2 = 10/2

    x = 5

    Check

    2x + 2y = 6

    2 (5) + 2 (-2) = 6

    10 + - 4 = 6

    6 = 6

    So the answer is (5,2)
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