SOLUTION: 2x-3y=8 -4x+5y=-10

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Question 983238: 2x-3y=8 -4x+5y=-10
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=8 -4x+5y=-10

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2x-3y=8 AND -4x+5y=-10

or

system%282x-3y=8%2C+-4x%2B5y=-10%29

What method do you want to use? A good choice here would be Elimination Method.
Multiply the first equation by 2, and then sum the corresponding members of the equations.

system%284x-6y=16%2C-4x%2B5y=-10%29, equivalent system

%284x-6y%29%2B%28-4x%2B5y%29=16%2B%28-10%29, summing the corresponding members

4x-6y-4x%2B5y=6

-y=6, variable x was eliminiated, leaving only the variable y.

highlight%28y=-6%29

Use either equation to solve for and find the value of x.