Solve for x
x=\frac{y-13}{5}
Solve for y
y=5x+13
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y-3=5x+10
Use the distributive property to multiply 5 by x+2.
5x+10=y-3
Swap sides so that all variable terms are on the left hand side.
5x=y-3-10
Subtract 10 from both sides.
5x=y-13
Subtract 10 from -3 to get -13.
\frac{5x}{5}=\frac{y-13}{5}
Divide both sides by 5.
x=\frac{y-13}{5}
Dividing by 5 undoes the multiplication by 5.
y-3=5x+10
Use the distributive property to multiply 5 by x+2.
y=5x+10+3
Add 3 to both sides.
y=5x+13
Add 10 and 3 to get 13.
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