SOLUTION: Solve the following system of equations for the unknown variables. X + y =12 X-y=-2

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Question 768656: Solve the following system of equations for the unknown variables.
X + y =12
X-y=-2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x+%2B+y+=12....eq.1
x-y=-2........eq.2
_________________________add both
x+%2B+y%2B+x-y=12%2B%28-2%29
2x+%2Bcross%28+y%29-cross%28y%29=12-2
2x=10
x=10%2F2
highlight%28x=5%29
now go back to eq.1 or eq.2 and find y
x+%2B+y+=12....eq.1...plug in x
5+%2B+y+=12
y+=12-5
highlight%28y+=7%29