Question

3/4(x-1)=x-3 find the value of x and verify​

Answer 1

Answer:

3/4(x-1)=x-3

3/4x-3/4=x-3

x-3/4x=3-3/4

(4x-3x)/4=(12-3)/4 (dinominetors cut)

x=9

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Answer 2

$\frac{3}{4} (x - 1) = x - 3$

$- > \frac{3x}{4} - \frac{3}{4} = x - 3$

$- > \frac{3}{4} x - x = - 3 + \frac{3}{4}$

$- > \frac{3x - 4x}{4} = \frac{ - 122 + 3}{4}$

$- > \frac{ - x}{4} = \frac{ - 9}{4}$

$- > - x = \frac{9}{4} \times 4$

$- x = - 9$

$x = 9$

Now we will have to verify the value of x is correct or not ..

Substitude the value of x in the equation :-

$\frac{3}{4} (x - 1) = x - 3$

$- > \frac{3}{4} (9 - 1) = 9 - 3$

$- > \frac{3}{4} \times 8 = 9 - 3$

$- > 6 = 6$

So, LHS = RHS

Hence Proved !!!

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