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Solve the following system of linear equations by addition.

Answer:
Step-by-step explanation:
Treat it like a vertical addition problem adding top and bottom. You will need to scale one of the equations to make one of the terms able to be eliminated when adding together.
So in this case, let's eliminate the x. We can multiple the entire top equation by 2. Doing so results in -2x +3y = -5/2
Now add the equations.
Add the first terms -2x plus 2x = eliminates that term
Add the second terms: 3y plus -2y = y
Add the last terms: -5/2 plus 1 = -3/2
So y = -3/2
Plug it back into one of the equations and solve algebraically to get x.
-x + 3/2(-3/2) = -5/4
-x -9/4 = -5/4
-x = 1
x= -1