Solve for r k=3r-7s

$k = 3 r - 7 s$

Step 1

Rewrite the equation as $3 r - 7 s = k$ .

$3 r - 7 s = k$

Step 2

Add $7 s$ to both sides of the equation.

$3 r = k + 7 s$

Step 3

Divide each term in $3 r = k + 7 s$ by $3$ and simplify.

Divide each term in $3 r = k + 7 s$ by $3$ .

$\frac{3 r}{3} = \frac{k}{3} + \frac{7 s}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 r}{3} = \frac{k}{3} + \frac{7 s}{3}$

Divide $r$ by $1$ .

$r = \frac{k}{3} + \frac{7 s}{3}$