Systems of Equations: Equal Values Method Flashcard

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to intersect in a graph of a system of equations?

Back

It means there is one unique solution to the system, where the values of the variables satisfy both equations.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution to the system, as the lines never meet.

Tags

CCSS.8.EE.C.8B

Front

What is the Equal Values Method?

Back

A method for solving systems of equations by setting the equations equal to each other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: y = 2x + 3 and y = 4x - 1.

Back

The solution is x = 2 and y = 7.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, and every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

Solve the system of equations: y = 3x - 1 and y = 5x + 2.

Back

The solution is x = -3 and y = -10.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system with no solution?

Back

The graph shows parallel lines.

Tags

CCSS.8.EE.C.8A

Front

Solve the system of equations: y = 3x - 2 and y = 5x + 1.

Back

The solution is x = -3 and y = -11.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations using the Equal Values Method?

Back

Set the two equations equal to each other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6