Solving by Elimination - Addition

Front

What is the Elimination Method in solving systems of equations?

Back

The Elimination Method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in using the Elimination Method?

Back

The first step is to manipulate the equations so that when added or subtracted, one of the variables cancels out.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system using elimination: 2x + 3y = 6 and 4x - 3y = 12.

Back

(3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to 'combine' equations in the Elimination Method?

Back

Combining equations involves adding or subtracting the equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system using elimination: 3x + 2y = 12 and 6x - 4y = 24.

Back

(0, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a key advantage of the Elimination Method?

Back

It can be more straightforward than substitution, especially when dealing with larger systems of equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(3, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the resulting equation when combining 2x + 4y = 10 and 2x - 2y = 4?

Back

4y - 2y = 6, which simplifies to 2y = 6.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(2, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the purpose of multiplying an equation in the Elimination Method?

Back

Multiplying an equation can help align coefficients of one variable to facilitate elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6