Question

Solve for the exact value simplified
5/7=x/10

Answer 1

5/7=x/10

Cross multiply

(5)(10)=50

(7)(x)=7x

7x=50

Divide by 7 for both sides

7x/7=50/7

x=50/7 or x=7 1/7

Answer: x=50/7 or x=7 1/7

Answer 2

x =
`(50)/(7)`

Explanation:

With fractions, you can cross multiply

`(5)/(7) =(x)/(10)\\10*5 = 7*x\\50 = 7x\\x = (50)/(7)`

Double check:

`(5)/(7) =((50)/(7))/(10)\\(5)/(7)=(50)/(700)=(5)/(7)`