Checking Solutions for Systems of Equations

What does a solution to a system of equations represent on a graph?

• The midpoint of the two lines

• The slope of the lines

• The point where the two lines intersect

• The y-intercept of the lines

In the example of a correct solution, what is the result of substituting the values into the first equation?

• 8 = 8

• 9 = 9

• 6 = 6

• 7 = 7

Why is it important to check a solution in both equations of a system?

• To find the slope of the lines

• To determine the y-intercept

• To confirm the solution satisfies both equations

• To ensure the solution is a midpoint

In the incorrect solution example, what was the result of substituting the values into the second equation?

• -7 = 4

• -7 = -7

• 6 = 6

• 4 = 4

What does it mean if a solution only satisfies one of the equations in a system?

• The solution is a midpoint

• The solution is a y-intercept

• The solution is correct

• The solution is incorrect