Question

solve for the quadratic equation 4/x-3=5/2x+3

Answer 1

Answer: The value of x is -9.

Step-by-step explanation:

Since we have given that

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

So, we just need to solve the value of 'x':

$\frac{4}{x-3}=\frac{5}{2x+3}\\\\4(2x+3)=5(x-3)\\\\8x+12=5x-15\\\\8x-5x=-15-12\\\\3x=-27\\\\x=\frac{-27}{3}=-9$

Hence, the value of x is -9.

Answer 2

Answer:

The value of x is -9.

Step-by-step explanation:

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

To find : The solution of the given equation?

Solution :

We have given,

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

Cross multiply,

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

$8x-12=5x-15$

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

$3x=-27$

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

$x=-9$

Therefore, The value of x is -9.