8-7.4 2024-25 Solving Systems by Elimination

Front

What is a system of linear equations?

Back

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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you determine if a system of equations has one solution, no solution, or infinitely many solutions?

Back

One solution: lines intersect at one point; no solution: lines are parallel; infinitely many solutions: lines coincide.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of linear equations?

Back

The lines representing each equation on a coordinate plane, where their intersection represents the solution.

Tags

CCSS.8.EE.C.8A

Front

Solve the system of equations: 5x - 3y = -36 and 2x + 3y = 15.

Back

(-3, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Where do the lines x - y = 11 and 2x + y = 19 intersect?

Back

(10, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: 3x + y = -21 and x + y = -5.

Back

(-8, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of linear equations: -2x - 10y = 22 and 2x + 5y = -12.

Back

(-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: 3x + y = -14 and -2x - y = 9.

Back

(-5, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6