Question

If (x,y) is a solution to the system of equations, what is the value of y?

1/4x+1/8y=2

1/3x+1/2y=4

Answer 1

y = 4

Explanation:

`(1)/(4)` x +
`(1)/(8)` y = 2

multiply through by 8 ( the LCM of 4 and 8 ) to clear the fractions

2x + y = 16 → (1)

`(1)/(3)` x +
`(1)/(2)` y = 4

multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2x + 3y = 24 → (2)

subtract (1) from (2) term by term to eliminate x

0 + 2y = 8

2y = 8 ( divide both sides by 2 )

y = 4