Question

How do you solve the system of equations: x + 2y = 6 ; x - 3y = -4?

Answer 1

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

Explanation:

`color(blue)(x )+ 2y = 6`.........equation `1`

`color(blue)(x) - 3y = -4`....equation `2`

Solving through elimination .
Subtracting equation `2` from `1`

`cancelcolor(blue)(x )+ 2y = 6`
`cancel( -color(blue)(x)) + 3y = +4`

`5y=10`
`color(blue)(y=2`

Finding `x` by substituting `y` in equation `1`
`x+ 2y = 6`
`x + 2*2 = 6`
`x = 6 -4`
`color(blue)(x=2`