System of equations

Answer:
The solution of the system of equations is the point (-3,0)
Step-by-step explanation:
we have
[tex]-3x+y=9[/tex] -----> equation A
[tex]2x-y=-6[/tex] -----> equation B
Adds equation A and equation B
[tex]-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3[/tex]
Find the value of y
[tex]-3(-3)+y=9[/tex]
[tex]9+y=9[/tex]
[tex]y=9-9=0[/tex]
The solution of the system of equations is the point (-3,0)