Solve 7-4z/9=9-4z/7

$$7 - \frac { 4 z } { 9 } = 9 - \frac { 4 z } { 7 }$$

Solve for z

$$z = \frac{63}{4} = 15\frac{3}{4} = 15.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 63, the least common multiple of 9,7.

$$441-7\times 4z=567-9\times 4z$$

Multiply -7 and 4 to get -28.

$$441-28z=567-9\times 4z$$

Multiply -9 and 4 to get -36.

$$441-28z=567-36z$$

Add 36z to both sides.

$$441-28z+36z=567$$

Combine -28z and 36z to get 8z.

$$441+8z=567$$

Subtract 441 from both sides.

$$8z=567-441$$

Subtract 441 from 567 to get 126.

$$8z=126$$

Divide both sides by 8.

$$z=\frac{126}{8}$$

Reduce the fraction \frac{126}{8} to lowest terms by extracting and canceling out 2.

$$z=\frac{63}{4}$$