Question

X by 2 minus x by 3 is equal to X by 4 + X by 2 and check​

Answer 1

Step-by-step explanation:

x/2-x/3= x/4+x/2

(3x-2x )/6 =(2x+4x)/8

1/6 x =6/8x

1/6x not equal 3/4x

Answer 2

The required value of x=0

Step-by-step explanation:

The given equation is:

$\frac{x}{2}-\frac{x}{3}=\frac{x}{4}+\frac{x}{2}\\\\\Rightarrow \frac{3x-2x}{6} =\frac{x+2x}{4}\\ \\\Rightarrow \frac{x}{6}=\frac{3x}{4}$

Cross Multiply

$\Rightarrow 4\times x=3x\times 6\\\\\Rightarrow 4x=18x\\\\\Rightarrow 18x-4x=0\\\\\Rightarrow 14x=0\\\\\Rightarrow x=\frac{0}{14}\\ \\\Rightarrow x=0$

To check the solution we will substitute the value of x in the Right hand side and left hand side of the equation.

Left hand Side

$\frac{x}{2}-\frac{x}{3} \\\\=\frac{0}{2}-\frac{0}{3}\\ =0$

Right Hand Side

$\frac{x}{4}+\frac{x}{2}\\ \\=\frac{0}{4}+\frac{x}{2} \\\\=0$

Thus Left Hand Side = Right Hand Side.

Learn More:

Solve the following equation 3 by 5 x + 2 by 5 is equal to 1 and check the answer​

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