6x - 3y = -3
-2x + y = 4
In the second equation, add 2x to both sides.
y = 4 + 2x
Now that we have a value for y, we can plug it into the first equation.
6x - 3(4 + 2x) = -3
Distributive property.
6x - 12 - 6x = -3
Combine like terms.
-12 = -3
Add 3 to both sides.
-9 = 0
The equation is false and has no solution.