Question

1/x + 1/2x = 3/2 find x

Answer 1

Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. 4(3) - 2 = 3(3) + 1. 12 - 2 = 9 + 1.

Answer 2

Given: The equation is$1/x + 1/2x = 3/2$.

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,

$1/x + 1/2x = 3/2$

$\Rightarrow \frac{1}{x} +\frac{1}{2x} = \frac{3}{2}\\\\\Rightarrow\frac{2x+x}{2x^{2} } =\frac{3}{2}\\\\\Rightarrow\frac{3x}{2x^{2} } =\frac{3}{2}\\\\\Rightarrow\frac{3}{2x} =\frac{3}{2}\\\\\Rightarrow 3\times2 =2x\times3\\\\\Rightarrow 6=6x\\\Rightarrow x=\frac{6}{6} \\\\\Rightarrow x =1$

Hence, the value of$x$ will be$1$.