SOLUTION: 5x+6y=-13/2 7x-9y=5/2

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Question 1073239: 5x+6y=-13/2
7x-9y=5/2
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Going part of the way with Elimination Method,

system%286%285x%2B6y%29=6%2813%2F2%29%2C4%287x-9y%29=4%285%2F2%29%29

system%2830x%2B36y=78%2F2%2C28x-36y=20%2F2%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

5x + 6y = -13/2
7x - 9y = 5/2
matrix%281%2C6%2C+5x+%2B+6y%2C+%22=%22%2C+-+13%2F2%2C+%22------%22%2C+eq%2C+%22%28i%29%22%29

matrix%281%2C6%2C+7x+-+9y%2C+%22=%22%2C+5%2F2%2C+%22--------%22%2C+eq%2C+%22%28ii%29%22%29

Multiply eq (i) by LCD, 2 to get: 10x + 12y = - 13 ----- eq (iii)

Multiply eq (ii) by LCD, 2 to get: 14x - 18y = 5 ------- eq (iv)

Solve to get: highlight_green%28matrix%282%2C3%2C+y%2C+%22=%22%2C+-+2%2F3%2C+x%2C+%22=%22%2C+-+1%2F2%29%29