Respuesta :
Answer:
The values of x and y is x=9 and y=-36
Therefore the solution is (9,-36)
Step-by-step explanation:
Given system of equation are
[tex]y=-3x-9\hfill (1)[/tex][tex]y=\frac{1}{3}x-39\hfill (2)[/tex]
To Solve the given system of equation
Now equating equations (1) and (2) we get
[tex]-3x-9=\frac{1}{3}x-39[/tex]
[tex]-3x-9-\frac{1}{3}x+39=0[/tex]
[tex]\frac{-9x-x+90}{3}=0[/tex]
[tex]-10x+90=0[/tex]
[tex]-10x=-90[/tex]
[tex]x=\frac{90}{10}[/tex]
Therefore x=9
substitute x=9 in (1) we get
y=-3(9)-9
=-27-9
Therefore y=-36
Therefore x=9 and y=-36
The solution is (9,-36)
