Question

Solve 4/x -3 = 5/2x+3, x is not equal to zero, -3/2

Answer 1

4/x-3=5/2x+3
=)4/x-5/2x=3+3
=)(8-5)/2x=6
=)3=6×2x
=)x=3/12
=)x=1/4

Answer 2

Answer:

Value of x = -9

Step-by-step explanation:

Given Equation is $\frac{4}{x-3}=\frac{5}{2x+3}$

To find: Value of x.

Consider,

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

Cross multiply,

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

using distributive property,

$8x+12=5x-15$

transpose 5x to LHS,

$8x-5x+12=-15$

transpose 12 to RHS

$3x=-15-12$

$3x=-27$

transpose 3 to RHS,

$x=\frac{-27}{3}$

$x=-9$

Therefore, Value of x = -9