Question

How do you solve `x + y/3 = 4` and `x/4 - y = 6`?

Answer 1

`x=72/13,y=-60/13`

Explanation:

Step 1: Make `y` the subject of one of the equations:
`x+y/3=4` => `y=12-3x`

Step 2: Substitute this into the other equation and solve for `x`:
`x/4-y=x/4-12+3x=6` => `x-48+12x=24`
=> `x=72/13`

Step 3: Use this value in one of the equations and solve for `y`:
`x+y/3=72/13+y/3=4` => `y/3=52/13-72/13=-20/13`
=> `y=-60/13`