Question

2x-3y=4
-4x+6y=-8.
solve by elimination

Answer 1

2x - 3y = 4 ⇒ -4x + 6y = -8
-4x + 6y = -8 ⇒ -4x + 6y = -8
0y = 0
0 0
y = 0
2x - 3(0) = 4
2x - 0 = 4
+0 +0
2x = 4
2 2
x = 2
(x, y) = (2, 0)

Answer 2

`2x-3y=4 \\ -4x+6y=-8 \ \ \ |/ 2 \\ \\ 2x-3y=4 \\ \underline{-2x+3y=-4} \\ 2x-2x-3y+3y=4-4 \\ 0=0 \\ \\ \boxed{\hbox{infinitely many solutions}}`