Chapter 6: Q13. (page 274)

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

Short Answer

Expert verified

The solution of $\frac{3}{5} x - \frac{2}{5} = 2$ is $x = 4$ .

Step by step solution

. Given

The given equation is $\frac{3}{5} x - \frac{2}{5} = 2$ .

.To determine

We have to solve the equation $\frac{3}{5} x - \frac{2}{5} = 2$ .

. Calculation

To solve the equation, we try to get x alone on a side:

$\begin{matrix} \frac{3}{5} x - \frac{2}{5} = 2 \\ \frac{3}{5} x = 2 + \frac{2}{5} [groupliketerms] \\ \frac{3}{5} x = \frac{10 + 2}{5} [writesumofnumeratoroverdenominator] \\ \frac{3}{5} x = \frac{12}{5} [add] \\ 3 x = 12 [multiplybothsidewith5] \\ x = 4 [dividebothsideby3] \end{matrix}$

So, the solution of the equation $\frac{3}{5} x - \frac{2}{5} = 2$ is $x = 4$ .

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

Short Answer

Step by step solution

. Given

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. Calculation

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