Solve for a
a=6-b
Solve for b
b=6-a
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ab+4a+4b+16-ab=40
Use the distributive property to multiply a+4 by b+4.
4a+4b+16=40
Combine ab and -ab to get 0.
4a+16=40-4b
Subtract 4b from both sides.
4a=40-4b-16
Subtract 16 from both sides.
4a=24-4b
Subtract 16 from 40 to get 24.
\frac{4a}{4}=\frac{24-4b}{4}
Divide both sides by 4.
a=\frac{24-4b}{4}
Dividing by 4 undoes the multiplication by 4.
a=6-b
Divide 24-4b by 4.
ab+4a+4b+16-ab=40
Use the distributive property to multiply a+4 by b+4.
4a+4b+16=40
Combine ab and -ab to get 0.
4b+16=40-4a
Subtract 4a from both sides.
4b=40-4a-16
Subtract 16 from both sides.
4b=24-4a
Subtract 16 from 40 to get 24.
\frac{4b}{4}=\frac{24-4a}{4}
Divide both sides by 4.
b=\frac{24-4a}{4}
Dividing by 4 undoes the multiplication by 4.
b=6-a
Divide 24-4a by 4.
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