Solve for x
x=\frac{y+38}{7}
Solve for y
y=7x-38
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y-4=7x-42
Use the distributive property to multiply 7 by x-6.
7x-42=y-4
Swap sides so that all variable terms are on the left hand side.
7x=y-4+42
Add 42 to both sides.
7x=y+38
Add -4 and 42 to get 38.
\frac{7x}{7}=\frac{y+38}{7}
Divide both sides by 7.
x=\frac{y+38}{7}
Dividing by 7 undoes the multiplication by 7.
y-4=7x-42
Use the distributive property to multiply 7 by x-6.
y=7x-42+4
Add 4 to both sides.
y=7x-38
Add -42 and 4 to get -38.
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