Understanding Systems of Equations

The video tutorial explains how to determine if a given point is a solution to a system of equations. It begins by defining a system of equations and identifying the variables X and Y. The tutorial then demonstrates how to substitute the values into both equations to check if they satisfy the system. The first equation is verified as true, but the second equation is not satisfied, leading to the conclusion that the point is not a solution to the system.

What is a system of equations?

• A single equation with multiple variables

• Two or more equations with the same variables

• An equation with no solution

• A graph with no intercepts

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the given system, what value is substituted for X?

• 14

• -1

• 7

• 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result of substituting the values into the first equation?

• 14

• 11

• 12

• 13

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What operation is performed after substituting values in the first equation?

• Division

• Subtraction

• Addition

• Multiplication

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result of the second equation after substitution?

• -11

• -12

• -10

• -9

Why is the point not a solution to the system?

• It is not a valid point

• It satisfies only one equation

• It satisfies both equations

• It satisfies neither equation

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

• It must satisfy at least one equation

• It must satisfy both equations

• It must be a positive point

• It must be a negative point