Solving Systems by Substitution & Graphing

Front

What is the first step in solving a system by Substitution?

Back

Make sure at least one equation is solved for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: y = 6x - 11 and -2x - 3y = -7?

Back

(2, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the following system: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the following system: 2x - y = -1 and y = x - 1.

Back

(-2, -3)

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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical method of solving systems of equations?

Back

Plotting both equations on a graph and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the intersection point in a graph of two equations?

Back

It represents the solution to the system of equations.

Tags

CCSS.8.EE.C.8B

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 if two lines are parallel in a system of equations?

Back

The system has no solution, as the lines never intersect.

Tags

CCSS.8.EE.C.8B