SOLUTION: 1/2+7/y = 2+1/y A)y=3 B)y=4 C)y=-4 D)y=-3

Algebra ->  Rational-functions -> SOLUTION: 1/2+7/y = 2+1/y A)y=3 B)y=4 C)y=-4 D)y=-3      Log On


   

Question 145578: 1/2+7/y = 2+1/y
A)y=3
B)y=4
C)y=-4
D)y=-3
Found 2 solutions by checkley77, vleith:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
1/2+7/y = 2+1/y
7/y-1/y=2-1/2
6/y=3/2
3y=12
y=12/3
y=4 answer.
proof:
1/2+7/4=2+1/4
2/4+7/4=8/4+1/4
9/4=9/4

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use this --> http://www.algebrahelp.com/calculators/equation/
Clear the denominator by multiplying by 2y everywhere
yields y +14 = 4y +2
Simplifying
y + 14 = 4y + 2
Reorder the terms:
14 + y = 4y + 2
Reorder the terms:
14 + y = 2 + 4y
Solving
14 + y = 2 + 4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y' to each side of the equation.
14 + y + -4y = 2 + 4y + -4y
Combine like terms: y + -4y = -3y
14 + -3y = 2 + 4y + -4y
Combine like terms: 4y + -4y = 0
14 + -3y = 2 + 0
14 + -3y = 2
Add '-14' to each side of the equation.
14 + -14 + -3y = 2 + -14
Combine like terms: 14 + -14 = 0
0 + -3y = 2 + -14
-3y = 2 + -14
Combine like terms: 2 + -14 = -12
-3y = -12
Divide each side by '-3'.
y = 4
Simplifying
y = 4