Day 1 - Solve 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 is a system of linear equations?

Back

A system of linear equations is a set of two or more linear 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

It means that the equations represent the same line, and there are countless points (x, y) that satisfy both equations.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means that the equations represent parallel lines that never intersect, so there are no points (x, y) that satisfy both equations.

Tags

CCSS.8.EE.C.8A

Front

How do you combine equations in the elimination method?

Back

You can add or subtract the equations to eliminate one of the variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations using elimination?

Back

The first step is to align the equations and decide which variable to eliminate.

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

Infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

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

Back

Infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

Solve the system using elimination: 5x - 2y = 3 and 10x - 4y = 6.

Back

Infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

Solve the system using elimination: 4x + y = 9 and 2x - y = 1.

Back

(2, 1).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6