Solving 3-variable systems REVIEW

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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

A technique for solving systems of equations by removing one variable, allowing for easier solving of the remaining equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method?

Back

A technique for solving systems of equations by solving one equation for one variable and substituting that expression into the other equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The equations represent the same line or plane, meaning there are countless points that satisfy all equations.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system has no solution?

Back

The equations represent parallel lines or planes that never intersect.

Tags

CCSS.8.EE.C.8A

Front

How do you check if a solution is correct for a system of equations?

Back

Substitute the solution values 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 a consistent system of equations?

Back

A system that has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is a dependent system of equations?

Back

A system where the equations are equivalent, leading to infinitely many solutions.

Tags

CCSS.8.EE.C.8B