Question

2x+3y=5 6x+9y=-15?

Answer 1

These equations have no solution

Explanation:

Any solution `(x,y)` would have to both satisfy

`2x+3y=5`

and

`6x+9y=-15`

If such a point existed, then we would have to have

`color(red)(15)= 3 times 5 = 3 times(2x+3y)= 6x+9y=color(red)(-15)`

which is absurd.

Graphically, the two equations represent two parallel straight lines - so they can never intersect at a single point.