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18 January, 18:13

Solve the system by substitution and show all work:

2.5x-3y=-13

3.25x-y=-14

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Answers (1)
  1. 18 January, 20:08
    0
    (-4,1)

    Step-by-step explanation:

    A system of equations is 2 or more equations for which the same x, y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

    Pair 2.5x-3y=-13 and 3.25x-y=-14

    We can solve for y in 3.25x-y=-14. 3.25x+14=y.

    Because y=3.25x+14, we can substitute 3.25x+14 into y in 2.5x-3y=-13.

    2.5x-3y=-13

    2.5x-3 (3.25x+14) = -13

    2.5x-9.75x-42=-13

    -7.25x-42=-13

    -7.25x=29

    x = - 4

    We now substitute x=-4 into y=3.25x+14

    y=3.25x+14

    y=3.25 (-4) + 14

    y=-13+14

    y=1
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