Question 117425
1.4x-2y=-6
2.2x-y=-3
First graph equation 1.
When x=0, -2y=-6, y=3.
When y=0, 4x=-6, x=-3/2
{{{drawing( 300, 300, -5, 5, -5, 5,grid( 1 ),blue(circle( 0, 3, .2 )),blue(circle( -1.5, 0, .2 )),blue(line( 0, 3, -1.5, 0)))}}}
Next, equation 2.
2.2x-y=-3
When x=0, -y=-3, y=3.
When y=0, 2x=-3, x=-3/2.
As you see the x and y intercepts are the same for equations 1 and 2.
Equations 1 and 2 are the same equation. 
If you multiply equation 2 by (2), you get equation 1. 
They have infinitely many solutions.