Question

9x-7/3x+5=3x-4/x+6 solve the equation step by step ​

Answer 1

Answer:

x = 1/2 = 0.5

Step-by-step explanation:

9x-7/3x+5=3x-4/x+6

(9x-7)(x+6)=(3x-4)(3x+5) (Cross-Multiply denominators)

9x^2 + 54x - 7x - 42 = 9x^2 + 15x - 12x - 20 (Multiply out the brackets)

9x^2 + 47x - 42 = 9x^2 + 3x - 20 (Solve like terms)

9x^2 + 47x - 42 - 9x^2 - 3x + 20 = 0 (Transpose R.H.S to L.H.S)

44x - 22 = 0 (Solve like terms)

22 ( 2x - 1 ) = 0 (Factorise)

2x - 1 = 0 (Divide 22 from both sides)

2x = 1 (Transpose 1 from R.H.S to L.H.S)

x = 1/2 (Transpose 2 from R.H.S to L.H.S)

Answer 2

Answer:

I hope it helps you....