Solving Systems of Equations

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.8.EE.C.8B

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B

Solve for x and y

y = 2x + 1

y = 4x - 1

Tags

CCSS.HSA.REI.C.9

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Solve by substitution:

y = 7x + 9

2y + 2x = -18

• (5, 0)

• (9, 18)

• (-2, -5)

• (1, 16)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6x + y = -1

y = -3x - 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution:

y = -3x + 11

5x + y = 21

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y (Use Substitution)

2x − 3y = −1

y = x − 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the best method do you use?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is defined

• Elimination because both equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6