algebra

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x+3y=-10
7x-5y=34
solve using substitution method

  • algebra -

    x+3y=-10 ......(1)
    7x-5y=34 ......(2)

    From (1), write it as:
    x=-10-3y ......(3)
    Substitute x in (3) into (2)
    7(-10-3y)-5y=34 .....(4)
    Expand the left hand side
    -70-21y-5y=34
    Isolate y
    -21y-5y = 34 + 70
    -26y = 104
    Calculate y:
    y=104/-26 = -4 .....(5)
    Now substitute (5) into (3) to find x.

    After that, substitute the values of x and y into equations (1) and (2) to verify if the solutions are correct.

  • algebra -

    x=-3y-10
    7(-3y-10)-5y=34
    -21y-70-5y=34
    -27y-70=34
    -21y=104
    y=-104/21
    this is your y value now just plug this value back into the x to find your x value
    hope this helped.

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