Solve the System of Equations 6w-8z=16 3w-4z=8

$6 w - 8 z = 16$ $3 w - 4 z = 8$

Step 1

Solve for $w$ in $6 w - 8 z = 16$ .

Add $8 z$ to both sides of the equation.

$6 w = 16 + 8 z$

$3 w - 4 z = 8$

Divide each term in $6 w = 16 + 8 z$ by $6$ and simplify.

Divide each term in $6 w = 16 + 8 z$ by $6$ .

$\frac{6 w}{6} = \frac{16}{6} + \frac{8 z}{6}$

$3 w - 4 z = 8$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 w}{6} = \frac{16}{6} + \frac{8 z}{6}$

$3 w - 4 z = 8$

Divide $w$ by $1$ .

$w = \frac{16}{6} + \frac{8 z}{6}$

$3 w - 4 z = 8$

$w = \frac{16}{6} + \frac{8 z}{6}$

$3 w - 4 z = 8$

$w = \frac{16}{6} + \frac{8 z}{6}$

$3 w - 4 z = 8$

Simplify the right side.

Simplify each term.

Cancel the common factor of $16$ and $6$ .

Factor $2$ out of $16$ .

$w = \frac{2 (8)}{6} + \frac{8 z}{6}$

$3 w - 4 z = 8$

Cancel the common factors.

Factor $2$ out of $6$ .

$w = \frac{2 \cdot 8}{2 \cdot 3} + \frac{8 z}{6}$

$3 w - 4 z = 8$

Cancel the common factor.

$w = \frac{2 \cdot 8}{2 \cdot 3} + \frac{8 z}{6}$

$3 w - 4 z = 8$

Rewrite the expression.

$w = \frac{8}{3} + \frac{8 z}{6}$

$3 w - 4 z = 8$

$w = \frac{8}{3} + \frac{8 z}{6}$

$3 w - 4 z = 8$

$w = \frac{8}{3} + \frac{8 z}{6}$

$3 w - 4 z = 8$

Cancel the common factor of $8$ and $6$ .

Factor $2$ out of $8 z$ .

$w = \frac{8}{3} + \frac{2 (4 z)}{6}$

$3 w - 4 z = 8$

Cancel the common factors.

Factor $2$ out of $6$ .

$w = \frac{8}{3} + \frac{2 (4 z)}{2 (3)}$

$3 w - 4 z = 8$

Cancel the common factor.

$w = \frac{8}{3} + \frac{2 (4 z)}{2 \cdot 3}$

$3 w - 4 z = 8$

Rewrite the expression.