The second equation has the common factor 2 in all its terms, so divide through by 2: 2x+y=4, y=4-2x. From the first equation y=6-3x, so 4-2x=6-3x, which can be solved because there is only one variable, x. Combining the variable terms on the left and the constants on the right: 3x-2x=6-4, x=2. But y=4-2x=4-4=0. Solution: x=2, y=0.