Systems of Linear Equations: No Sol./Inf. Many Sol.

Two or more linear equations with the same set of variables are called:

• System

• System of Equations

• Linear Equations

• Quadratic Equations

What is the solution to this system of linear equations?

Solve by graphing and/or comparing slopes and y-intercepts.

y = 4x and y - 4x = 0

• There are infinitely many solutions.

• The only solution is (0, 4)

• The only solution is (0, 0)

• There is no solution.

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

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.8A

Does the system have one, none or infinite solutions?

Solve by graphing and/or comparing slopes and y-intercepts.

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

The same line on a graph, has how many solutions?

• One solution
• Infinite solutions
• No solution

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

Solve by graphing and/or comparing slopes and y-intercepts.

y = -x + 3

y = -x + 5

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

Solve by graphing and/or comparing slopes and y-intercepts.

y = x + 3

y = x − (-3)

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

Solve by graphing and/or comparing slopes and y-intercepts.

3y = -2x + 10

3y = -2x − 1

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B