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21 April, 06:29

What is the solution of the system of equations 2x - 5y = 11 and - 2x + 3y = - 9?

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  1. 21 April, 06:40
    0
    x = 3, y = - 1

    Step-by-step explanation:

    Let's solve your system by substitution.

    2x-5y=11 and - 2x+3y=-9

    Solve x in 2x-5y=11

    2x-5y=11 (add 5y to both sides)

    2x = 5y + 11 (divide 2 by both sides)

    x=5/2y + 11/2

    substitute 5/2y+11/2 for x in - 2x+3y=-9

    -2x+3y=9

    -2 (5/2y+11/2) + 3y=-9

    -2y-11=-9 (simplify both sides)

    -2y-11=-9 (add 11 to both sides)

    -2y=2 (divide both sides by - 2)

    y=-1

    substitute your y (-1) in x = 5/2y + 11/2

    x = 5/2y + 11/2

    x=5/2 (-1) + 11/2

    x=3

    therefore, y = - 1 and x = 3
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