Solve the system by graphing. Check your solution.
x = 7
y = 6
To solve the system by graphing, we will plot the two equations on a coordinate plane and find the point of intersection.
1. Equation 1: x = 7
Since x is a constant value and does not depend on y, the equation represents a vertical line passing through x = 7.
2. Equation 2: y = 6
This equation represents a horizontal line passing through y = 6.
By plotting both lines on a graph, we can see that they intersect at the point (7, 6).
To check our solution, we substitute the values of x = 7 and y = 6 into both equations:
1. x = 7 --> 7 = 7 (True)
2. y = 6 --> 6 = 6 (True)
Both equations are true when x = 7 and y = 6, confirming our solution.
Therefore, the solution to the system is (x, y) = (7, 6).