SOLUTION: Solve the system by addition: -5x+2y=10 x-3y=11

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Question 82569: Solve the system by addition:
-5x+2y=10
x-3y=11

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Linear Systems by Addition
We'll solve the system:


by elimination by addition.To eliminate by addition, we need to set both coefficients of x to numbers with changed signs, i.e a and -a. Since in the second equation we have 1 as our coefficient for x, to get 5 we have to multiply all terms of the second equation by which is equal to 5.

Multiplying, we get on our second equation:


Adding both equations we get:



Since -5 and 5 cancel out, we have a linear equation:Therefore, we know that y = -5.

Plugging that in into the first equation gives us:









Therefore, our answer is:


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