Ex.2.6 Q1 Linear Equations in One Variable Solutions-Ncert Maths Class 8

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Question

Solve: \(\begin{align}\frac{{8x - 3}}{{3x}} = 2\end{align}\)

Text Solution

What is known?

Equation

What is unknown?

Value of the variable

Reasoning:

Multiple both sides by the L.C.M of the denominators to get rid of fractional number. Now transpose variables to one side and constant to another side.

Steps:

\(\begin{align}\frac{{8x - 3}}{{3x}} = 2\end{align}\)

On multiplying both sides by \(3x\), we obtain

\[\begin{align}8x - 3 = 6x \\8x - 6x = 3 \\\,\,\,\,\,\,\,\,\,\,2x = 3 \\\,\,\,\,\,\,\,\,\,\,\,\,x = \frac{3}{2} \\\end{align} \]

  
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