algebra

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what is 2x+3y=-5,3x+5y=-9 in substitution form

  • algebra -

    solve the first equation for x
    2x = -3y - 5
    x = -(3 y/2 +5/2)

    substitute in the second
    -3(3y/2+5/2) +5y = -9
    -9y/2 -15/2 + 10y/2 = -18/2

    y = -3
    then x = 9y/2 -5/2 = 2

    check by using that x and y in equation 1
    2x+3y=-5
    2*2 + 3*-3 = -5?
    4-9 = -5
    Yes, checks

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