Equal Values Method Review

Front

What is the Equal Values Method?

Back

A method used to solve systems of equations by setting the equations equal to each other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you determine if a system of equations has no solution?

Back

If the lines represented by the equations are parallel, they do not intersect, indicating no solution.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

This occurs when the equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is the first step in 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

Front

Solve for x: y = 2x + 3 and y = 5x - 1

Back

x = 4/3.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you check your solution for a system of equations?

Back

Substitute the solution back into the original equations to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

The solution is where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

Solve for y: 2x + 3y = 12 and y = 4 - x

Back

y = 2.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the coefficients in a linear equation?

Back

They determine the slope and position of the line on a graph.