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Chapter 3: Q. 54 (page 112)

$\frac{1}{3} x + \frac{2}{5} = \frac{1}{5} x - \frac{2}{5}$

Short Answer

Expert verified

The value of $x = - 6$ .

Step by step solution

. Given information.

Consider the given equation.

\frac{1}{3} x + \frac{2}{5} = \frac{1}{5} x - \frac{2}{5}

Step 2.

$\begin{array}{rcl} \frac{1}{3} x + \frac{2}{5} & = & \frac{1}{5} x - \frac{2}{5} \\ \frac{1}{3} x - \frac{1}{5} x & = & - \frac{2}{5} - \frac{2}{5} \\ \frac{5 x - 3 x}{15} & = & \frac{- 2 - 2}{5} \\ \frac{2 x}{15} & = & - \frac{4}{5} \\ x & = & - 6 \end{array}$

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$\begin{matrix} \frac{4}{3} x + \frac{1}{5} y = 3 \\ \frac{2}{3} x - \frac{3}{5} y = 5 \end{matrix}$

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13x+25=15x-25

Short Answer

Step by step solution

. Given information.

Step 2.

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$\frac{1}{3} x + \frac{2}{5} = \frac{1}{5} x - \frac{2}{5}$