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9 October, 02:53

How do I solve the following system of equations?

-5x-3y=7

-3x-4y=2

+5
Answers (1)
  1. 9 October, 03:16
    0
    (-2, 1)

    Step-by-step explanation:

    Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:

    -3 (-5x - 3y = 7) or 15x + 9y = - 21

    5 (-3x - 4y = 2) or - 15x - 20y = 10

    -11y = - 11

    y = 1

    Solve for x: - 5x - 3 = 7

    Add 3 to both sides: - 5x - 3 + 3 = 7 + 3 or - 5x = 10

    Solve for x: x = - 2

    (-2, 1)
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