Systems of Equations

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 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 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 infinitely many solutions?

Back

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

Tags

CCSS.8.EE.C.8A

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

It can be represented by lines on a coordinate plane.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations 2x + 3y = 6 and x - y = 1?

Back

(3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations 4x - y = 7 and 2x + y = 3?

Back

(2, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the graph of two intersecting lines represent?

Back

It represents a system of equations with one unique solution.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of two parallel lines represent?

Back

It represents a system of equations with no solution.

Tags

CCSS.8.EE.C.8A