Question

Which ordered pair is the solution to the system of equations?

2x-5y= -5
x+2y= 11
A) (3,4)
B) (5,3)
C) (7,2)
D) (15,7)

Answer 1

`\left \{ {{2x-5y=-5} \atop x+2y=11\ } \right. \\\\ \left \{ {{2x-5y=-5} \atop {-2x-4y=-22}} \right. \\+------\\\\-9y=-27\ \ \ |:-9\\y=3\\\\x+2\cdot3=11\\x+6=11\\x=11-6\\x=5\\\\Answer\ B(5,3)`