Question

x-9/x-5=5/7
solve the equation​

Answer 1

$7\left(x-9\right)=5\left(x-5\right)$

$7x-63=5\left(x-5\right) \\ \\ 7x-63=5x-25 \\ \\ 7x-63-5x=-25 \\ \\ 2x-63=-25 \\ \\ 2x=-25+63 \\ \\ 2x=38 \\ \\ x=\frac{38}{2} \\ \\ { \boxed{ \tt{ \orange{x = 19}}}}$

Answer 2

x=19

Step-by-step explanation:

x-9/x-5=5/7

5(x-5) = 7(x-9)

5x-25 = 7x-63

5x-7x = -63+25

-2x = -38

x = -38/-2

x = 19