To find the number of solutions for a system of equations, we need to determine if the lines represented by the equations intersect, are parallel, or coincide.
The first equation can be rewritten as:
x - 3y = -6
Now we have the system of equations:
-x + 3y = 6
x - 3y = -6
Adding both equations together, we get:
0 = 0
This means the two equations represent the same line, so they coincide. Therefore, there are infinite solutions to the system of equations.
Identify the number of solutions to the system of equation:
y=⅓ x + 2
-x +3y = 6
1 answer