Solve for x
x=\frac{y+7}{3}
Solve for y
y=3x-7
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3x+6-y+7=20
To find the opposite of y-7, find the opposite of each term.
3x+13-y=20
Add 6 and 7 to get 13.
3x-y=20-13
Subtract 13 from both sides.
3x-y=7
Subtract 13 from 20 to get 7.
3x=7+y
Add y to both sides.
3x=y+7
The equation is in standard form.
\frac{3x}{3}=\frac{y+7}{3}
Divide both sides by 3.
x=\frac{y+7}{3}
Dividing by 3 undoes the multiplication by 3.
3x+6-y+7=20
To find the opposite of y-7, find the opposite of each term.
3x+13-y=20
Add 6 and 7 to get 13.
13-y=20-3x
Subtract 3x from both sides.
-y=20-3x-13
Subtract 13 from both sides.
-y=7-3x
Subtract 13 from 20 to get 7.
\frac{-y}{-1}=\frac{7-3x}{-1}
Divide both sides by -1.
y=\frac{7-3x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=3x-7
Divide 7-3x by -1.
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