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Solve for x, y
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x-3=r
Consider the first equation. Swap sides so that all variable terms are on the left hand side.
x=r+3
Add 3 to both sides.
-2\left(r+3\right)+y=-5
Substitute r+3 for x in the other equation, -2x+y=-5.
-2r-6+y=-5
Multiply -2 times r+3.
y=2r+1
Subtract -2r-6 from both sides of the equation.
x=r+3,y=2r+1
The system is now solved.