Verifying Solutions in Linear Systems

The video tutorial demonstrates how to determine if a given point, Q (3, -7), is a solution to a linear system of equations. The process involves checking the point against each equation in the system. The tutorial verifies that point Q satisfies both equations, confirming it as a solution for the entire system.

What is the main objective of the example discussed in the video?

• To find the slope of a line

• To determine if a point is a solution to a linear system

• To calculate the distance between two points

• To solve a quadratic equation

What must be true for a point to be considered a solution to a system of equations?

• It must satisfy at least one equation in the system

• It must lie on the x-axis

• It must have positive coordinates

• It must satisfy all equations in the system

What is the first step in verifying if a point is a solution to a system?

• Verify it with the first equation

• Find the midpoint

• Check the y-intercept

• Calculate the slope

What is the x-coordinate of point Q?

• 0

• 5

• -7

• 3

What is the y-coordinate of point Q?

• 0

• 3

• -7

• 5

In the first equation, what is the result of 5 times the x-coordinate plus 4 times the y-coordinate?

• 13

• -13

• 0

• 28

What does the result of the first equation verification tell us about point Q?

• Point Q is not a solution to any equation

• Point Q is a solution to the first equation

• Point Q is not a solution to the first equation

• Point Q is a solution to the second equation

What operation is performed in the second equation to verify point Q?

• Addition

• Subtraction

• Multiplication

• Division

What is the result of the second equation verification for point Q?

• -13

• 0

• 13

• 28

What is the second step in verifying if a point is a solution to a system?

• Verify it with the second equation

• Check the y-intercept

• Find the midpoint

• Calculate the slope