Answer:
The system has one solution at (1,0).
Explanation:
Consider the provided system of equations
y=-6x+6
Substitute x = 0 in above equation.
y=-6(0)+6
y=6
The coordinate is (0,6)
Now substitute y=0 in the above equation.
0=-6x+6
-6=-6x
x=1
The coordinate is (1,0)
Now use the coordinates (0,6) and (1,0) in order to draw the graph.
The graph of y= -6x + 6 is shown in figure 1.
Similarly, consider the second equation y= 3x - 3
Substitute x = 0 in above equation.
y=3(0)-3
y=-3
The coordinate is (0,-3)
Now substitute y=0 in the above equation.
0=3x-3
3=3x
x=1
The coordinate is (1,0)
The graph of y= 3x - 3 is shown in figure 2.
Now draw the graph of both equation as shown in figure 3.
By observing the graph it can be concluded that the system has one solution at (1,0)
Hence, the system has one solution at (1,0).