Answer:
Option C. The solution is the point (1,8)
Step-by-step explanation:
we have
[tex]x+y=9[/tex] -----> equation A
[tex]x-\frac{1}{2}y=-3[/tex] ----> equation B
Solve the system by elimination
Multiply the equation A by -1 both sides
[tex]-x-y=-9[/tex] -----> equation C
Adds equation C and equation B
[tex]-x-y=-9\\x-\frac{1}{2}y=-3\\-------\\-y-\frac{1}{2}y=-9-3\\\\-\frac{3}{2}y=-12\\ \\y=2*12/3\\ \\y=8[/tex]
Find the value of x
[tex]x+y=9[/tex] ----> [tex]x+8=9[/tex] ----> [tex]x=1[/tex]
therefore
The solution is the point (1,8)
