Solving Systems by Elimination

Front

What is the elimination method in solving systems of equations?

Back

The elimination method 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 does it mean if a system of equations has no solution?

Back

A system has no solution if the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

Solve by elimination: 3x + 7y = 23 and -3x - 7y = -17

Back

No solution

Tags

CCSS.8.EE.C.8B

Front

Solve by elimination: 4x + 4y = 4 and 3x + 4y = 10

Back

(-6, 7)

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 + 9y = 28 and -4x - y = -28

Back

(7, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Which variable will be eliminated in the equations 4x + 8y = 20 and -4x + 2y = -30?

Back

The x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Tags

CCSS.8.EE.C.8A

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, meaning the lines are parallel.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to be dependent?

Back

A dependent system has infinitely many solutions, meaning the equations represent the same line.

Tags

CCSS.8.EE.C.8B