Answer:
(C) (2,-1)
Step-by-step explanation:
The given system of equations is :
[tex]5x+y=9[/tex] (1)
and [tex]3x+2y=4[/tex] (2)
Multiply equation (1) with 2 and then subtract equation (2) from it, we get
⇒[tex]10x+2y-3x-2y=18-4[/tex]
⇒[tex]7x=14[/tex]
⇒[tex]x=2[/tex]
Substitute the value of x=2 in equation (1), we get
⇒[tex]5(2)+y=9[/tex]
⇒[tex]10+y=9[/tex]
⇒[tex]y=-1[/tex]
Therefore, x=2 and y=-1. that is (2,-1).
