Chapter 7: Q. 250 (page 695)

Solve the equation $c = \frac{2}{a} + \frac{b}{5}$ for the variable $a$ .

Short Answer

Expert verified

The required expression is $a = \frac{10}{5 c - b}$ .

Step by step solution

Given information

The equation is given as $c = \frac{2}{a} + \frac{b}{5}$ to find the expression.

Solve the given equation

Apply the algebraic operations to find the required expression for the given equation.

Subtract $\frac{b}{5}$ into both sides of the given equation and solve for $a$ .

$\begin{array}{rcl} c & = & \frac{2}{a} + \frac{b}{5} \\ c - \frac{b}{5} & = & \frac{2}{a} + \frac{b}{5} - \frac{b}{5} \\ c - \frac{b}{5} & = & \frac{2}{a} \\ \frac{5 c - b}{5} & = & \frac{2}{a} \\ \frac{5}{5 c - b} & = & \frac{a}{2} \\ a & = & \frac{5 \times 2}{5 c - b} \\ a & = & \frac{10}{5 c - b} \end{array}$

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Solve the equation $c = \frac{2}{a} + \frac{b}{5}$ for the variable $a$ .

Short Answer

Step by step solution

Given information

Solve the given equation

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Solve the equation c=2a+b5for the variable a.

Short Answer

Step by step solution

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Solve the given equation

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Solve the equation $c = \frac{2}{a} + \frac{b}{5}$ for the variable $a$ .