Solve the system by graphing. Check your solution.
y=3x
y=-4x+7
Select the correct choice below and fill in any answer boxes present in your choice.
A.
The solution of the system is
enter your response here.
(Type an ordered pair.)
B.
There are infinitely many solutions.
C.
There is no solution
To solve the system by graphing, we will plot the two equations on a graph.
First, let's create a table of values for each equation:
For y = 3x:
x | y
-2 | -6
-1 | -3
0 | 0
1 | 3
2 | 6
For y = -4x + 7:
x | y
-2 | 15
-1 | 11
0 | 7
1 | 3
2 | -1
Now, let's plot the points and draw the lines:
The graph of y = 3x is a straight line passing through (0,0) and (1,3), and extending in both directions.
The graph of y = -4x + 7 is also a straight line passing through (0,7) and (1,3), and extending in both directions.
We can see that the two lines intersect at the point (1,3), which means this is the solution of the system.
Therefore, the correct choice is:
A. The solution of the system is (1,3).