Solving Linear Systems

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Tags

CCSS.8.EE.C.8A

Front

What is the solution of a linear system that has parallel lines?

Back

No solution.

Tags

CCSS.8.EE.C.8A

Front

Solve the system of equations: x + y = 4 and -5x - 6y = -18.

Back

(6, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What system of equations does this graph represent? (Graph representation)

Back

C

Tags

CCSS.8.EE.C.8B

Front

What is the solution to this system of equations? (Graph representation)

Back

(4, -1)

Tags

CCSS.8.EE.C.8B

Front

What is a linear system?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to be consistent?

Back

It has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines overlap (are the same line).

Tags

CCSS.8.EE.C.8A

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6