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Question 325908: -x+y=5
x-5y=-9
Solving systems by elimination
Answer by Apathious(24)   (Show Source):
You can put this solution on YOUR website! x+y=5_x-5y=-9
Multiply the first equation by -1 to make the coefficients of x have opposite signs.
-(x+y)=-(5)_x-5y=-9
Multiply -1 by the 5 inside the parentheses.
-(x+y)=-5_x-5y=-9
Multiply -1 by each term inside the parentheses.
-x-y=-5_x-5y=-9
Add the two equations together to eliminate x from the system.
x-5y=-9_- x-y=-5_ -6y=-14
Divide each term in the equation by -6.
y=(7)/(3)
Substitute the value found for y into the original equation to solve for x.
-x-((7)/(3))=-5
Multiply -1 by each term inside the parentheses.
-x-(7)/(3)=-5
Move all terms not containing x to the right-hand side of the equation.
-x=-(8)/(3)
Multiply -x by -1 to get x.
x=-(8)/(3)*-1
Divide each term in the equation by -1.
x=(8)/(3)
This is the final solution to the independent system of equations.
y=(7)/(3)_x=(8)/(3)
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