Solution of a Linear System

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

Solve the following system of equations by graphing:

• Infinite solutions

• (2, -2)

• (1, 0)

• (3, -4)

Tags

CCSS.8.EE.C.8B

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

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

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Tags

CCSS.8.EE.C.8B

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 the following system of equations by graphing:

• (4, -4)

• (-4, 4)

• no solutions

• (0, 0)

Tags

CCSS.8.EE.C.8B

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

• t: # of tacos

  m: # of glasses of milk

• t: Cost of each taco

  m: Cost of each glass of milk

• t: total cost

  m: # of food items

• t: Cost of each glass of milk

  m: Cost of each taco

Tags

CCSS.8.EE.C.8C

What are systems of linear equations?

• set of two or more linear equations in the same variables

• polynomial with three terms

• set of two or more linear inequalities in the same variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution to this system of linear equations (you will need to use your graph paper)

y = 2x + 6

y = -x - 3

• (3,0)

• (0,3)

• (0-,3)

• (-3,0)

Tags

CCSS.8.EE.C.8B