INTRO Systems of Linear Equations

Front

What is a system of linear equations?

Back

A set of 2 or more equations that have 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.

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CCSS.8.EE.C.8A

Front

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

Back

The lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines coincide, meaning they are the same line.

Tags

CCSS.8.EE.C.8A

Front

How can you determine the number of solutions in a system of equations?

Back

By graphing the equations and observing the intersection points.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: 2x + 3y = 6 and 4x + 6y = 12?

Back

Infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations: x + y = 5 and x - y = 1?

Back

(3, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that value into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6