Answer :
[tex]2x-y=-1 \ \ \ |\times (-2) \\
3x-2y=1 \\ \\
-4x+2y=2 \\
\underline{3x-2y=1 \ \ \ \ } \\
-4x+3x=2+1 \\
-x=3 \ \ \ |\times (-1) \\
x=-3 \\ \\
2x-y=-1 \\
2 \times (-3)-y=-1 \\
-6-y=-1 \ \ \ |+6 \\
-y=5 \ \ \ |\times (-1) \\
y=-5 \\ \\
\boxed{(x,y)=(-3,-5)}[/tex]
2x - y = -1
3x - 2y = 1
5x - 3y = 0
5x - 5x - 3y = 0 - 5x
3y = 0 - 5x
3y = 0 - 5x
3 3
y = 0 - 5/3x
3x - 2(0 - 5/3x) = 1
3x + 8/3x = 1
5 1/4x = 1
5 1/4x = 1
5 1/4 5 1/4
x = 4/21
3(4/21) - 2y = 1
4/7 - 2y = 1
-4/7 -4/7
-2y = 3/7
-2y = 3/7
-2 -2
y = -3/14
(x, y) = (4/21, -3/14)
3x - 2y = 1
5x - 3y = 0
5x - 5x - 3y = 0 - 5x
3y = 0 - 5x
3y = 0 - 5x
3 3
y = 0 - 5/3x
3x - 2(0 - 5/3x) = 1
3x + 8/3x = 1
5 1/4x = 1
5 1/4x = 1
5 1/4 5 1/4
x = 4/21
3(4/21) - 2y = 1
4/7 - 2y = 1
-4/7 -4/7
-2y = 3/7
-2y = 3/7
-2 -2
y = -3/14
(x, y) = (4/21, -3/14)