4. Elimination Method

Front

What is the Elimination Method in solving systems of equations?

Back

The Elimination Method is a technique used to solve systems of linear 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

Identify which variable can be eliminated by adding or subtracting the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

In the equations 4x + 3y = 1 and x - 3y = -11, which variable is eliminated first?

Back

The variable y is eliminated by adding the equations after adjusting their coefficients.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What happens when you multiply an entire equation by -1?

Back

The signs of all terms in the equation are reversed.

Front

If you have the equations 2x - 6y = 20 and 2x + 5y = -11, what is the first step to eliminate x?

Back

You can multiply the second equation by -1 to align the coefficients of x for elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations x - y = 11 and 2x + y = 19 using the Elimination Method?

Back

The solution is (10, -1).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

In the equations 5x - 4y = 11 and 5x + 4y = -14, which variable will be eliminated?

Back

The variable y will be eliminated.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the result of adding the equations 4x + 3y = 1 and x - 3y = -11?

Back

The result is 5x = -10, which simplifies to x = -2.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you set up equations for elimination?

Back

Align the equations vertically and ensure the coefficients of one variable are opposites or can be made opposites.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the purpose of the Elimination Method?

Back

The purpose is to simplify the process of solving systems of equations by reducing the number of variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6