Solve for y. Write answer in simpliest form.
2+7/y=3/5
2 + 7/y = 3/5
7/y = 3/5 - 2
y/7 = 1/(3/5 - 2)
2 + 7/y = 3/5
Get rid of the denominators
Multiply both sides by y
2y + 7 = 3/5 y
Multiply both sides by 5
10y + 35 = 3y
Subtract 10y from both sides
35 = -7y
Divide both sides by -7
-5 = y
y = -5
To solve for y in the equation 2 + 7/y = 3/5, we can follow these steps:
Step 1: Get rid of the fraction by multiplying both sides of the equation by 5y.
5y * (2 + 7/y) = 5y * (3/5)
Simplifying this, we have:
10y + 35 = 3y
Step 2: Rearrange the equation by moving all the terms with y to one side and the constant terms to the other side.
10y - 3y = -35
Simplifying this, we have:
7y = -35
Step 3: Solve for y by dividing both sides of the equation by 7.
(7y)/7 = -35/7
Simplifying this, we have:
y = -5
Therefore, the solution for y is -5.