Question

if 5x-3/4=2x-2/3, then what is the value of x

Answer 1

Answer:1/36

Step-by-step explanation:

Take x in LHS

5x-2x= 3/4-2/3

3x= (9-8)/12 taking lcm

X_ 1/12 * 1/3

X= 1/36

Answer 2

Given equation is

$\frac{5x - 3}{4} = \frac{2x - 2}{3}$

By cross multiplication, we get

$3(5x - 3) = 4(2x - 2)$

$15x - 9 = 8x - 8$

Getting all the X terms to one side, we get

$15x - 8x = - 8 + 9$

$7x = 1 \\ x = \frac{1}{7}$

Verification :-

$\frac{5 \times \frac{1}{7} - 3 }{4} = \frac{2 \times \frac{1}{7} - 2}{3}$

$\frac{ \frac{5}{7} - \frac{3}{1} }{4} = \frac{ \frac{2}{7} - \frac{2}{1} }{3}$

$\frac{ - 14}{7} \times \frac{1}{4} = \frac{ - 12}{7} \times \frac{1}{3}$

$\frac{ - 4}{7} = \frac{ - 4}{7}$

Therefore

$x = \frac{1}{7}$

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