Solve for a 21=2/11a+11

$21 = \frac{2}{11} a + 11$

Step 1

Rewrite the equation as $\frac{2}{11} a + 11 = 21$ .

$\frac{2}{11} a + 11 = 21$

Step 2

Combine $\frac{2}{11}$ and $a$ .

$\frac{2 a}{11} + 11 = 21$

Step 3

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

Subtract $11$ from both sides of the equation.

$\frac{2 a}{11} = 21 - 11$

Subtract $11$ from $21$ .

$\frac{2 a}{11} = 10$

Step 4

Multiply both sides of the equation by $\frac{11}{2}$ .

$\frac{11}{2} \cdot \frac{2 a}{11} = \frac{11}{2} \cdot 10$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{11}{2} \cdot \frac{2 a}{11}$ .

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11}{2} \cdot \frac{2 a}{11} = \frac{11}{2} \cdot 10$

Rewrite the expression.

$\frac{1}{2} (2 a) = \frac{11}{2} \cdot 10$

Cancel the common factor of $2$ .

Factor $2$ out of $2 a$ .

$\frac{1}{2} (2 (a)) = \frac{11}{2} \cdot 10$

Cancel the common factor.

$\frac{1}{2} (2 a) = \frac{11}{2} \cdot 10$

Rewrite the expression.

$a = \frac{11}{2} \cdot 10$

Simplify the right side.

Simplify $\frac{11}{2} \cdot 10$ .

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$a = \frac{11}{2} \cdot (2 (5))$

Cancel the common factor.

$a = \frac{11}{2} \cdot (2 \cdot 5)$

Rewrite the expression.

$a = 11 \cdot 5$

Multiply $11$ by $5$ .

$a = 55$