Question

x÷5-3=x÷3-2 solve in leanear equation

Answer 1

Answer:

$x = \frac{-15}{2}$

Step-by-step explanation:

$x \div 5 -3 = x\div 3 - 2$

$\implies \frac{x}{5}-3=\frac{x}{3}-2$

$\implies \frac{x}{5}-\frac{x}{3} = -2+3$

$\implies \frac{3x-5x}{15}=1$

$\implies \frac{-2x}{15}=1$

$\implies x = 1\times \frac{-15}{2}$

$\implies x = \frac{-15}{2}$

Therefore,

$x = \frac{-15}{2}$

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Answer 2

Given:

$\frac{x}{5}-3=\frac{x}{3}-2$

To Find:

Value of "x" = ?

Solution:

On taking LCM of the given expression, we get

⇒  $\frac{x-15}{5} =\frac{x-6}{3}$

On applying cross-multiplication, we get

⇒  $3(x-15)=5(x-6)$

⇒  $3x-45=5x-30$

On adding "30" both sides, we get

⇒  $3x-45+30=5x-30+30$

⇒  $3x-15=5x$

On subtracting "3x" from both sides, we get

⇒  $3x-15-3x=5x-3x$

⇒  $-15=2x$

⇒  $x= -\frac{15}{2}$

So that on solving the given equation, we get "-15/2".