Solve the System of Equations s-2=9 3r-4s=16

$s - 2 = 9$ $3 r - 4 s = 16$

Move all terms not containing $s$ to the right side of the equation.

Add $2$ to both sides of the equation.

$s = 9 + 2$

$3 r - 4 s = 16$

Add $9$ and $2$ .

$s = 11$

$3 r - 4 s = 16$

$s = 11$

$3 r - 4 s = 16$

Replace all occurrences of $s$ with $11$ in each equation.

Replace all occurrences of $s$ in $3 r - 4 s = 16$ with $11$ .

$3 r - 4 \cdot 11 = 16$

$s = 11$

Simplify the left side.

Multiply $- 4$ by $11$ .

$3 r - 44 = 16$

$s = 11$

$3 r - 44 = 16$

$s = 11$

$3 r - 44 = 16$

$s = 11$

Solve for $r$ in $3 r - 44 = 16$ .

Move all terms not containing $r$ to the right side of the equation.

Add $44$ to both sides of the equation.

$3 r = 16 + 44$

$s = 11$

Add $16$ and $44$ .

$3 r = 60$

$s = 11$

$3 r = 60$

$s = 11$

Divide each term in $3 r = 60$ by $3$ and simplify.

Divide each term in $3 r = 60$ by $3$ .

$\frac{3 r}{3} = \frac{60}{3}$

$s = 11$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 r}{3} = \frac{60}{3}$

$s = 11$

Divide $r$ by $1$ .

$r = \frac{60}{3}$

$s = 11$

$r = \frac{60}{3}$

$s = 11$

$r = \frac{60}{3}$

$s = 11$

Simplify the right side.

Divide $60$ by $3$ .

$r = 20$

$s = 11$

$r = 20$

$s = 11$

$r = 20$

$s = 11$

$r = 20$

$s = 11$

Solve the system of equations $r = 20 s = 11$ .

$r = 20 s = 11$

List all of the solutions.

$r = 20, s = 11$

Solve the System of Equations s-2=9 3r-4s=16

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