Answer:
x = -5
y = -3
Step-by-step explanation:
5x – 2y = -19 (1)
8x + 5y = -55 (2)
<=> 5(5x – 2y) = 5(-19)
2(8x + 5y) = 2(-55)
<=> 25x - 10y = -95 (3)
16x + 10y = -110 (4)
Add (3) and (4), we have:
25x - 10y + 16x + 10y = -95 -110
<=> 41x = -205
=> x = -5
Replace x = - 5 in (1), we have:
5(-5) – 2y = -19
<=> -25 - 2y = -19
=> y = [-25 - (-19)]/2 = -3
