Solving Systems by Elimination

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations by elimination?

Back

It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you eliminate a variable in a system of equations?

Back

You can multiply one or both equations by a number to create coefficients that are opposites, allowing you to add or subtract the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: 7x + 2y = 24 and 8x + 2y = 30.

Back

(6, -9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: 3x + y = -21 and x + y = -5.

Back

(-8, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: y = 2x and x + y = 9.

Back

(3, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: -4x - 2y = -12 and 4x + 8y = -24.

Back

(6, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

no solution

Tags

CCSS.8.EE.C.8B

Front

What is a consistent system of equations?

Back

A system that has at least one solution.

Tags

CCSS.8.EE.C.8B