System of Equations

A ________________ is a set of two or more equations that have the same variables.

• solution of a system

• no solution

• system of equations

• table

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Select ALL the ways to solve a systems of equations

• Graphically (by graphing)

• Substitution

• Elimination

• Slope intercept form

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by graphing.

y = 2x + 1 and

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8B

When you graph the exact same equation twice, and the lines overlap

• you will have no solution.

• you will have one solution.

• you will have infinite solutions.

Tags

CCSS.8.EE.C.8A

A system of equations with no solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

Tags

CCSS.8.EE.C.8A

Which is the best method to use?

y = 6x − 11 and

−2x − 3y = −7

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

• None of the Above

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following systems of equations using substitution:

x = 6 and

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?

y = 2x + 1 and

y - 4x= - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6