Solve for x
x=\frac{69}{2}-y
Solve for y
y=\frac{69}{2}-x
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85=2y+8+2\left(x+4\right)
Use the distributive property to multiply 2 by y+4.
85=2y+8+2x+8
Use the distributive property to multiply 2 by x+4.
85=2y+16+2x
Add 8 and 8 to get 16.
2y+16+2x=85
Swap sides so that all variable terms are on the left hand side.
16+2x=85-2y
Subtract 2y from both sides.
2x=85-2y-16
Subtract 16 from both sides.
2x=69-2y
Subtract 16 from 85 to get 69.
\frac{2x}{2}=\frac{69-2y}{2}
Divide both sides by 2.
x=\frac{69-2y}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{69}{2}-y
Divide 69-2y by 2.
85=2y+8+2\left(x+4\right)
Use the distributive property to multiply 2 by y+4.
85=2y+8+2x+8
Use the distributive property to multiply 2 by x+4.
85=2y+16+2x
Add 8 and 8 to get 16.
2y+16+2x=85
Swap sides so that all variable terms are on the left hand side.
2y+2x=85-16
Subtract 16 from both sides.
2y+2x=69
Subtract 16 from 85 to get 69.
2y=69-2x
Subtract 2x from both sides.
\frac{2y}{2}=\frac{69-2x}{2}
Divide both sides by 2.
y=\frac{69-2x}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{69}{2}-x
Divide 69-2x by 2.
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