Question

In 2x⁄3 − 21⁄2 = 31⁄2, the value of x is _____.

Answer 1

Answer:

$\frac{2x}{3} - \frac{21}{2} = \frac{31}{2} \\ \frac{2x}{3} = \frac{31}{2} + \frac{21}{2} \\ \frac{2x}{3} = \frac{31 + 21}{2} \\ \frac{2x}{3} = \frac{52}{2} \\ \frac{2x}{3} = 26 \\ x = \frac{26 \times 3}{2} \\ x = 39$

Step-by-step explanation:

hope it helps you

Answer 2

Given: $2x/3 -21/2 = 31/2$

We have to find the value of$x$.

By using the concept of equation shifting, we are solving the above equation.  

For this, we will separate the variables on one side and the constant on another side.

Then, we will simplify the equation.

We are solving in the following way:

We have,

$2x/3 -21/2 = 31/2$

Solving the above equation:

$=>\frac{2x}{3} =\frac{31}{2} +\frac{21}{2} \\\\=>\frac{2x}{3} =\frac{31+21}{2}\\\\=>\frac{2x}{3} =\frac{52}{2}\\\\=>\frac{2x}{3} =26\\\\=>2x=26\times3\\\\=>2x=78\\\\=>x= \frac{78}{2} \\\\=>x=39$

Hence, the value of$x\ is\ 39$.