Solve for b a=9/2*(b+35)

$a = \frac{9}{2} \cdot (b + 35)$

Step 1

Rewrite the equation as $\frac{9}{2} \cdot (b + 35) = a$ .

$\frac{9}{2} \cdot (b + 35) = a$

Step 2

Multiply both sides of the equation by $\frac{2}{9}$ .

$\frac{2}{9} (\frac{9}{2} \cdot (b + 35)) = \frac{2}{9} a$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{2}{9} (\frac{9}{2} \cdot (b + 35))$ .

Apply the distributive property.

$\frac{2}{9} (\frac{9}{2} b + \frac{9}{2} \cdot 35) = \frac{2}{9} a$

Combine $\frac{9}{2}$ and $b$ .

$\frac{2}{9} (\frac{9 b}{2} + \frac{9}{2} \cdot 35) = \frac{2}{9} a$

Multiply $\frac{9}{2} \cdot 35$ .

Combine $\frac{9}{2}$ and $35$ .

$\frac{2}{9} (\frac{9 b}{2} + \frac{9 \cdot 35}{2}) = \frac{2}{9} a$

Multiply $9$ by $35$ .

$\frac{2}{9} (\frac{9 b}{2} + \frac{315}{2}) = \frac{2}{9} a$

Apply the distributive property.

$\frac{2}{9} \cdot \frac{9 b}{2} + \frac{2}{9} \cdot \frac{315}{2} = \frac{2}{9} a$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{9} \cdot \frac{9 b}{2} + \frac{2}{9} \cdot \frac{315}{2} = \frac{2}{9} a$

Rewrite the expression.

$\frac{1}{9} (9 b) + \frac{2}{9} \cdot \frac{315}{2} = \frac{2}{9} a$

Cancel the common factor of $9$ .

Factor $9$ out of $9 b$ .

$\frac{1}{9} (9 (b)) + \frac{2}{9} \cdot \frac{315}{2} = \frac{2}{9} a$

Cancel the common factor.

$\frac{1}{9} (9 b) + \frac{2}{9} \cdot \frac{315}{2} = \frac{2}{9} a$

Rewrite the expression.

$b + \frac{2}{9} \cdot \frac{315}{2} = \frac{2}{9} a$

Cancel the common factor of $2$ .

Cancel the common factor.

$b + \frac{2}{9} \cdot \frac{315}{2} = \frac{2}{9} a$

Rewrite the expression.

$b + \frac{1}{9} \cdot 315 = \frac{2}{9} a$

Cancel the common factor of $9$ .

Factor $9$ out of $315$ .

$b + \frac{1}{9} \cdot (9 (35)) = \frac{2}{9} a$

Cancel the common factor.

$b + \frac{1}{9} \cdot (9 \cdot 35) = \frac{2}{9} a$

Rewrite the expression.

$b + 35 = \frac{2}{9} a$

Simplify the right side.

Combine $\frac{2}{9}$ and $a$ .

$b + 35 = \frac{2 a}{9}$

Step 4

Subtract $35$ from both sides of the equation.

$b = \frac{2 a}{9} - 35$

Solve for b a=9/2*(b+35)

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