Answer:
The solution is (-4, -2)
Step-by-step explanation:
Given two equations
[tex]2x-5y=2[/tex] → (1)
[tex]3x+2y=-16[/tex] → (2)
we have to solve the system of equations by elimination method
Multiply (1) by 3 and (2) by 2 and then subtracting we get
[tex]3(2x-5y)-2(3x+2y)=6-(-32)[/tex]
[tex]6x-15y-6x-4y=38[/tex]
[tex]-19y=38[/tex]
[tex]y=-2[/tex]
⇒ [tex]2x=2+5(-2)=2-10=-8[/tex]
[tex]x=-4[/tex]
Hence, the solution is (-4, -2)
Option A is correct
