Question

help me solve (x+1)over(5)=(x+5)over(7)

Answer 1

(x + 1) / 5 = (x + 5) / 7

cross multiply

(x +1) x 7 = 5 x (x + 5)

7x + 7 = 5x + 25

take the like terms to one side

7x - 5x = 25 - 7

2x = 18

divide by 2 to isolate x

2x / 2 = 18 / 2

x = 9

check:

9 + 1 / 5 = 9 + 5 / 7

10 / 5 = 14 / 7

2 = 2

Answer 2

x=9. you cross multiply (x+1) with 7 so it becomes 7(x+1)= 5(x+5) then you distribute so you have 7x+7=5x+25. then you subtract 5x from both sides to get 2x+7=25 then subtract 7 from both sides to get 2x=18 then divide both sides by 2 to get x=9