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Algebra

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I am solving sytems of equations algrbraically. I have tried several times and I am not comming up with he answers for the following three equations that the book gives.

1) 4x-2y=-5
-x+2y=2

Answer in book: -1,1/2

2) -5x+2y=10
5x-3y=-10

Answer in book: -2,0

3) 2x-y=2
-2y+4y=-5

Answer in book: 1/2,-1

  • Algebra -

    4x-2y=-5
    -x+2y=2

    Adding the two equations together gives

    4x-2y+-x+2y=-5+2

    the ys on the LHS cancel to give

    4x-x=-3
    3x=-3
    x=-1

    substitute x=-1 into one of the starting equations.

    4(-1)-2y=-5
    -4-2y=-5

    -2y=-1
    y=1/2

    Have a go at the others.

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