Answer:
The solution is the point (6,-8)
Step-by-step explanation:
we have that
The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]
[tex]y=(1/3)x-10[/tex] -----> equation A
[tex]2x+y=4[/tex] -----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x
[tex]2x+[(1/3)x-10]=4[/tex]
[tex](7/3)x=14[/tex]
[tex]x=6[/tex]
Find the value of y
[tex]y=(1/3)(6)-10=-8[/tex]
therefore
The solution is the point (6,-8)