Answer :
[tex]2x-3y=4 \\
-4x+6y=-8 \ \ \ |\div 2 \\ \\
2x-3y=4 \\
\underline{-2x+3y=-4} \\
2x-2x-3y+3y=4-4 \\
0=0 \\ \\
\boxed{\hbox{infinitely many solutions}}[/tex]
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)
-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)