Question

How do you find the solution of 2x + 4y = 8 and x + 4y = 6?

Answer 1

The solutions are
`color(blue)(x=2,y=1`

Explanation:

`color(blue)(2x) + 4y = 8`........equation `1`

`x + 4y = 6` , multiplying this equation by `2`
`color(blue)(2x) + 8y =12`......equation `2`

Solving by elimination :
Subtracting equation `2` from `1` results in elimination of `color(blue)(2x`

`cancel(color(blue)(2x)) + 4y = 8`
`-cancel(color(blue)(2x)) - 8y =-12`

`-4y=-4`
`color(blue)(y=1`

Now finding `x` by substituting the value of `y` in equation `2`
`x + 4y = 6`
`x=6-4y`
`x=6-4*1`
`color(blue)(x=2`