6.3 Solving Systems Using Addition and Subtraction

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations using addition?

Back

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

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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.HSA.REI.C.6

CCSS.8.EE.C.8B

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 are the same.

Tags

CCSS.8.EE.C.8A

Front

What is the first step in solving the system 4x + 8y = 20 and -4x + 2y = -30 using addition?

Back

Add the two equations to eliminate x.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

Solve the system: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system 3x - 3y = 33 and 6x - 3y = 57?

Back

(8, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you solve the system -4x - 2y = -12 and 4x + 8y = -24?

Back

Add the equations to eliminate x, then solve for y.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system 4x + 4y = 4 and 3x + 4y = 10?

Back

(-6, 7)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is the solution to the system x + 5y = -27 and 2x + 5y = -24?

Back

(3, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6