4a+7b=22

Subtract 7b from both sides of the equation.

4a=22-7b

Divide each term in 4a=22-7b by 4.

4a4=224+-7b4

Cancel the common factor of 4.

Cancel the common factor.

4a4=224+-7b4

Divide a by 1.

a=224+-7b4

a=224+-7b4

Simplify each term.

Cancel the common factor of 22 and 4.

Factor 2 out of 22.

a=2(11)4+-7b4

Cancel the common factors.

Factor 2 out of 4.

a=2⋅112⋅2+-7b4

Cancel the common factor.

a=2⋅112⋅2+-7b4

Rewrite the expression.

a=112+-7b4

a=112+-7b4

a=112+-7b4

Move the negative in front of the fraction.

a=112-7b4

a=112-7b4

a=112-7b4

Solve for a 4a+7b=22