Answer:
[tex]\boxed{x = -2~~and~~y = -1}[/tex]
Step-by-step explanation:
2x - 5y = 1 (times 3) 6x - 15y = 3
3x - 4y = -2 (times 2) 6x - 8y = -4
.
6x - 15y = 3
6x - 8y = -4
-7y = 7
[tex]y = \frac{7}{-7}[/tex]
y = -1
.
Substitute the value of y to one of equations
2x - 5y = 1
2x - 5(-1) = 1
2x + 5 = 1
2x = 1 - 5
2x = -4
[tex]x = \frac{-4}{2}[/tex]
x = -2
