Solving Systems by Substitution

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one of the equations 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 first step in solving a system of equations using substitution?

Back

Get either variable by itself.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

Substitute the values of the variables back into the original equations to verify that both equations are satisfied.

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 is the solution to the system: x = -3y - 17 and 2x + 3y = -7?

Back

(10, -9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: y = 7x + 9 and 2y + 2x = -18?

Back

(-2, -5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: y = x + 5 and 4x + y = 20?

Back

(3, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the point of intersection in a system of equations?

Back

The point of intersection represents the solution to the system, where both equations are satisfied.

Tags

CCSS.8.EE.C.8B

Front

What is a dependent system of equations?

Back

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

Tags

CCSS.8.EE.C.8B