If a solution exists we can say y=y so we can say:
3x-2=-2x/5+1
3x-2=(-2x+5)/5
15x-10=-2x+5
17x=15
x=15/17, which makes y=-2x/5+1 become:
y=(-2/5)(15/17)+1
y=-6/17+1
y=(-6+17)/17
y=11/17
So the solution to the system is:
(15/17, 11/17)
This is assuming that what you typed for the equations is what you meant...
y=-0.4x+1 and y=3x+2
