Solving Systems by Substitution

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

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines representing the equations are the same line, meaning they overlap completely.

Tags

CCSS.8.EE.C.8A

Front

How do you solve a system of equations by substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: y = 2x + 1 and y = 3x - 2?

Back

(3, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

Two parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of a system with one solution look like?

Back

Two lines that intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of a system with infinite solutions look like?

Back

One line that is represented by two equations.

Tags

CCSS.8.EE.C.8A

Front

If x = 4 and y = 3, what is the ordered pair?

Back

(4, 3)

Tags

CCSS.HSA.CED.A.3