Substitution & Elimination!

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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 remaining variable.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

Solve by substitution: 7x + 2y = -19, x = 2y - 21

Back

(-5, 8)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

Solve the system of equations: 3x + 2y = 16, 14x + 2y = 38

Back

(2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: 4x + 8y = 20, -4x + 2y = -30

Back

(7, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: x + y = 19, y = 3x - 1

Back

(5, 14)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

A consistent system has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

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

Back

An inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B

Front

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

Back

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

Tags

CCSS.8.EE.C.8B

Front

How do you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to verify that both equations are satisfied.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6