Chapter 7.4, Problem 1OE

To determine

To calculate: The solution of the equations.

  $\frac{1}{4}+\frac{2}{x}=\frac{3}{4}$ .

Answer to Problem 1OE

The solution of the equations is $x=4$ and the L.C.M is $4$ .

Explanation of Solution

Given information:

The equation is $\frac{1}{4}+\frac{2}{x}=\frac{3}{4}$ .

Formula used:

We take like term to right hand side and variable term to left hand side.

And if the denominator is same then we will directly calculate the numerator.

Calculation:

Consider the equations.

  $\frac{1}{4}+\frac{2}{x}=\frac{3}{4}$ .

Now, in the above equation we have $x$ has variable .

Recall that we take like term to right hand side and variable term to left hand side.

Therefore $\frac{1}{4}+\frac{2}{x}=\frac{3}{4}$ $\Rightarrow \frac{2}{x}=\frac{3}{4}-\frac{1}{4}$ .

Recall that if the denominator is same then we will directly calculate the numerator.

Therefore $\frac{2}{x}=\frac{3}{4}-\frac{1}{4}\Rightarrow \frac{2}{x}=\frac{2}{4}\Rightarrow x=4$ .

Therefore the solution of the equations is $x=4$ .