Question

Solve:



StartFraction 3 y minus 1 over 2 y plus 4 EndFraction equals StartFraction 4 over 5 EndFraction

Answer options with 4 options
A.

y equals 1 and StartFraction 4 over 7 EndFraction

B.

y equals 2 and StartFraction 1 over 2 EndFraction

C.

y equals 3

D.

y equals 8

Answer 1

To solve the equation,

StartFraction 3y - 1 over 2y + 4 EndFraction = StartFraction 4 over 5 EndFraction,

we can cross multiply to get rid of fractions.

5(3y - 1) = 4(2y + 4)

Simplifying,

15y - 5 = 8y + 16

Moving all the variables to one side,

15y - 8y = 16 + 5

7y = 21

Dividing both sides by 7,

y = 3

Therefore, the correct answer is C. y equals 3.