If a number is added to the numerator of 5/7 and the same number is subtracted from the denominator, the result is

5. Find the number.

5. Find the number.

x = the number

5 + x

-------- = 5

7 - x

5 + x = 5(7 - x) {multiplied each side by (7 - x)}

5 + x = 35 - 5x {used distributive property}

6x = -30 {added 5x and subtracted 5 from each side}

x = 5 {divided each side by 4}

5 + x

-------- = 5

7 - x

5 + x = 5(7 - x) {multiplied each side by (7 - x)}

5 + x = 35 - 5x {used distributive property}

6x = -30 {added 5x and subtracted 5 from each side}

x = 5 {divided each side by 4}

**the number is 5****Ask Algebra House**