SOLUTION: Solve the following system of equations using the addition (elimination) method. Be sure to state the solution to the system. x+2y=-7 2x+3y=-12

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Question 79778: Solve the following system of equations using the addition (elimination) method. Be sure to state the solution to the system.
x+2y=-7
2x+3y=-12

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 2 as our coefficient for x, to get -1 we have to multiply all terms of the second equation by which is equal to -0.5.

Multiplying, we get on our second equation:


Adding both equations we get:



Since 1 and -1 cancel out, we have a linear equation:Therefore, we know that y = -2.

Plugging that in into the first equation gives us:









Therefore, our answer is:



So the solution is (-3,-2)

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