Question

Solve the following system `3y + x = -3` and `-6y + x = -12` using the graphing method?

Answer 1

Since both of the given equations a linear we only need 2 points for each equation to draw their lines and it is most convenient to use the axis intercept points

`3y+x = -3` will give us `(x,y)` intercepts at
`(0,-1)` and `(-3,0)`

`-6y+x=-12` will give us `(x,y)` intercepts at
`(0,2)` and `(-12,0)`

On graph paper draw a straight line through both
`(0,-1)` and `(-3,0)` for `3y+x=-3`
and another straight line through both
`(0,2)` and `(-12,0)` for `-6y+x=-12`

We can then read the point of intersection of the two lines from the graph as `(x,y) = (-6,1)`