Question

If (x, y) is a solution to the system of equations, what is the value of y? 1/4 x + 1/8 y = 2 1/3 x + 1/2 y = 4 A) 4 B) 6 C) -6 D) -4

Answer 1

The value of y is 4

Solution:

Given system of equations are:

`(1)/(4)x + (1)/(8)y =2 ---------- eqn\ 1\\\\(1)/(3)x + (1)/(2)y = 4 -------------- eqn\ 2`

We have to find value of y

From eqn 1,

`(1)/(4)x + (1)/(8)y =2 \\\\2x + y = 2 * 8\\\\2x + y = 16 ---- eqn\ 3`

From eqn 2,

`(1)/(3)x + (1)/(2)y = 4\\\\2x + 3y = 4 * 6\\\\2x + 3y = 24 ------ eqn\ 4`

Subtract eqn 3 from eqn 4

2x + 3y = 24

2x + y = 16

( - ) -----------------

2y = 8

y = 4

Thus value of y is 4