Solve for a
a=\frac{7b-x}{6}
Solve for b
b=\frac{x+6a}{7}
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6a-6x=7\left(b-x\right)
Use the distributive property to multiply 6 by a-x.
6a-6x=7b-7x
Use the distributive property to multiply 7 by b-x.
6a=7b-7x+6x
Add 6x to both sides.
6a=7b-x
Combine -7x and 6x to get -x.
\frac{6a}{6}=\frac{7b-x}{6}
Divide both sides by 6.
a=\frac{7b-x}{6}
Dividing by 6 undoes the multiplication by 6.
6a-6x=7\left(b-x\right)
Use the distributive property to multiply 6 by a-x.
6a-6x=7b-7x
Use the distributive property to multiply 7 by b-x.
7b-7x=6a-6x
Swap sides so that all variable terms are on the left hand side.
7b=6a-6x+7x
Add 7x to both sides.
7b=6a+x
Combine -6x and 7x to get x.
7b=x+6a
The equation is in standard form.
\frac{7b}{7}=\frac{x+6a}{7}
Divide both sides by 7.
b=\frac{x+6a}{7}
Dividing by 7 undoes the multiplication by 7.
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Limits
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