Chapter 1: Q79. (page 32)

Solve the equation.
$\frac{2 x + 3}{5} = \frac{3}{10}$

Short Answer

Expert verified

The solution is $x = - \frac{3}{4}$ .

Step by step solution

Step 1- Consider the equation.

Consider the equation $\frac{2 x + 3}{5} = \frac{3}{10}$ .

Cross multiply the equations.

Step 2- Step description.

$\begin{matrix} \frac{2 x + 3}{5} = \frac{3}{10} \\ 10 (2 x + 3) = 3 (5) \end{matrix}$

Step 3- Step description.

Simplify the equation as follows:

$\begin{matrix} 10 (2 x + 3) = 3 (5) \\ 20 x + 30 = 15 \\ 20 x = 15 - 30 \\ 20 x = - 15 \end{matrix}$

Divide both sides of the equation by 20.

$\begin{matrix} 20 x = - 15 \\ x = - \frac{15}{20} \\ x = - \frac{3}{4} \end{matrix}$

Therefore, the solution is $x = - \frac{3}{4}$ .

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Solve the equation.
$\frac{2 x + 3}{5} = \frac{3}{10}$

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

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Solve the equation.
$\frac{2 x + 3}{5} = \frac{3}{10}$