Answer:
x = 42/31, y = -37/62
Explanation:
5x + 8y =2
4x -6y =9
Multiply the first equation by 4
4(5x + 8y) =2*4
20x +32y = 8
Multiply this equation by -5
-5(4x -6y) =9*-5
-20x +30y = -45
Add them together
20x +32y = 8
-20x +30y = -45
-----------------------------
62y = -37
Divide by 62
62y/62 = -37/62
Multiply the first equation by 3
3(5x + 8y) =2*3
15x +24y =6
And the second equation by 4
4(4x -6y) =9*4
16x -24y = 36
Add them together
15x +24y =6
16x -24y = 36
-----------------
31x = 42
Divide by 31
31x/31 = 42/31
x = 42/31