Question

Q. solve (X+7)/5-9/(X-2)=1

Answer 1

Let's solve your equation step-by-step.

x+75−9x−2=1

x+75+−9x−2=1

Multiply all terms by x-2 and cancel:

(x+7)(x−2)5+−9=1(x−2)

15x2+x+−595=x−2(Simplify both sides of the equation)

15x2+x+−595−x=x−2−x(Subtract x from both sides)

15x2+−595=−2

15x2+−595+595=−2+595(Add 59/5 to both sides)


15x2=495

15x215=49515(Divide both sides by 1/5)

x2=49

x=±√49(Take square root)

Ans = x=7 or x=−7

thanks
please mark my answer as brilliest if you like it

Answer 2

here is your answer

$\frac{(x + 7)}{5} - \frac{9}{(x - 2)} = 1 \\ \\ \frac{(x + 7)(x - 2) - 9 \times 5}{5 \times (x - 2)} = 1 \\ \\ \frac{ {x}^{2} + 5x - 14 - 45}{5x - 10} = 1 \\ \\ \frac{ {x}^{2} + 5x - 59}{5x - 10} = 1 \\ \\ by \: cross \: mutiplication \: \\ \\ {x}^{2} + 5x - 59 = 1 \times (5x - 10) \\ {x}^{2} + 5x - 59 = 5x - 10 \\ {x}^{2} + 5x - 5x = - 10 + 59 \\ {x}^{2} = 49 \\ x = \sqrt{49} = ±7$

hope this helps you