Systems of Equations - Graphic Method

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Mary graphed the following system. What is the solution of the system?

• x = 1 and y = -1

• x = -1 and y = 1

• x = 0 and y = -2

• x = 0 and y = 1

What is the solution of the system of equations that is graphed?

• It has no solution.

• It has one solution: x = 1 and y = 3

• It has infinite amount of solutions.

• It has one solution: x = 3 and y = 1

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.8.EE.B.6

CCSS.8.G.A.5

^{What is the solution of the system?}

• There is no solution.

• There are many solutions.

• There are only positive solutions.

• The only solution is x = 1 and y = -1

What is the solution of the system?

• The system has no solution.

• The system has one solution where y = 1.

• The system has infinite amount of solutions.

• The system has one solution where y = -3

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.8

Find the solution of the system.

• The system has no solution.

• The system has many solutions.

• The system has one solution: x = 6 and y = -2

• The system has one solution: x = 6 and y = 2

The system has no solution.

• False

• True

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.8