Answer:
1 ): 3x-2y=-1,-x+2y=3 (1,2)
2): 4x-3y=-1 , -3x+4y=6 (2,3)
3x+6y=6, 2x+4y=-4 ( no solution)
-3x+6y=-3, 5x-10y=5 infinite
Explanation:
4x-3y=-1
-3x+4y=6 ( multiply first by 3 and second equation by 4)
12x-9y=-3
-12x+16y=24 subtract
7y=21
y=21/7=3
x=2, y=3 (2,3)
3x-2y=-1
-x+2y=3
solve by addition/elimination ( same as other equation):
multiply second equation by 3
3x-2y=-1
-3x+6y=9
4y=8
y=2
x=1
3x+6y=6, 2x+4y=-4 ( no solution)
-3x+6y=-3, 5x-10y=5 infinite