Systems Elimination (Easy)

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system of equations has no solution?

Back

The equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

How do you determine if a system of equations has one solution?

Back

The equations represent lines that intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: 9x = -3y + 6 and 9x = -3y + 6.

Back

Infinite Solutions.

Tags

CCSS.8.EE.C.8B

Front

Solve the system: -3x + y = 4 and -x + y = 6.

Back

(1, 7).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: y - 5 = 7x and y - 17 = x.

Back

(2, 19).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: 4x + 4y = 0 and 4x + 6y = 2.

Back

(-1, 1).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: x + y = 8 and -x - y = 4.

Back

No solution.

Tags

CCSS.8.EE.C.8B