Elimination

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

How do you determine which variable to eliminate in a system of equations?

Back

You can determine which variable to eliminate by looking for coefficients that can easily be made equal or opposite through multiplication.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 7x + y = -9 and -3x - y = 5

Back

(-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 4x + 8y = 20 and -4x + 2y = -30

Back

The variable eliminated is x.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28

Back

(7, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: -9x - 4y = -20 and 5x + 4y = 4

Back

(4, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve for x and y: 3x - 3y = 33 and 6x - 3y = 57

Back

(8, -3)

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

It means that the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6