Question

Solve for y. 1 y – 1 3y + 7 10 y E​

Answer 1

`y = (17)/(7)`

Explanation:

1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:

`(y-1)/(3y+7)=(1)/(10)\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10`

2) Now, solve like you would and isolate y. Subtract both sides by 10y.

`3y + 7 = 10y-10\\-7y + 7 = -10`

3) Then, subtract both sides by 7.

`-7y + 7 = -10\\-7y = -17\\`

4) Finally, divide both sides by -7 to receive the answer.

`-7y = -17\\y = (-17)/(-7) \\y = (17)/(7)`