Solve the system of equations by graphing.
[tex] -\frac{1}{3}x + y=-1 \ and \ y=4+\frac{1}{3}x[/tex]
We solve first equation for y
[tex]-\frac{1}{3}x + y=-1[/tex]
[tex]y= \frac{1}{3}x - 1 [/tex]
We make a table for each equation and then we graph it
x -----> [tex]y= \frac{1}{3}x - 1[/tex]
-3 -----> -2
0 -------> -1
3 -------> 0
Table for second equation
x -----> [tex]y=4+\frac{1}{3}x[/tex]
-3 -----> 3
0 -------> 4
3 -------> 5
Plot all the points on the grid and make a line
The graph is attached below.
Two lines are parallel to each other. So, no solution for system of equations.
