Question

# Use elimination to solve the system of equation: 2x+2y=-2 3x-2y=12

Equations
Use elimination to solve the system of equation:
2x+2y=-2
3x-2y=12

2021-05-10
Step 1: To Find
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We have to solve the system of equations by using elimination.
2x+2y=-2
3x-2y=12
Step 2: Calculation
Since we have a linear system of equations
2x+2y=-2
3x-2y=12
Add both the equations, we get
5x=10
x=2
When x = 2 then $$\displaystyle{4}+{2}{y}=−{2}\Rightarrow{2}{y}=-{2}-{4}\Rightarrow{y}=-{3}$$.
Hence the solution of the system is (2,−3).