Answer:
x = 2
y = -1
Step-by-step explanation:
2x - 5y = 9
3x + 4y = 2
find x in terms of y using the first equation
2x - 5y = 9
2x = 9 + 5y
x = 4.5 + 2.5y
substitute x for 4.5 + 2.5y in the second equation
3x + 4y = 2
3(4.5 + 2.5y) + 4y = 2
13.5 + 7.5y + 4y = 2
13.5 + 11.5y = 2
11.5y = 2 - 13.5
11.5y = -11.5
y = -1
now substitute y for -1 in the first equation
2x - 5y = 9
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 2
