Answer:
x = -6 and y =5
Explanation:
2x + 5y = 13 (call this equation '1')
-4x - 3y = 9 (call this '2')
multiply '1' by 2
4x + 10y = 26 (call this '3')
eliminate by adding '2' and '3':
(-4 + 4)x + (-3 + 10)y = 9 + 26
7y = 35
y = 5
sub that into '1':
2x + 5(5) = 13
2x + 25 = 13
2x = 13 - 25 = -12
x = -6
sub both x = -6 and y =5 into '2' to make sure everything adds up:
-4(-6) - 3(5) = 24 - 15 = 9
so x = -6 and y = 5