4.5.3 Systems of Equations Live Classroom

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 does
"solution to a system of equations"
mean?

• It's the point where both equations equal zero
• It's the point where graphs of both equations cross the y-axis
• It's the point that solves both equations at the same time
• It's the point where graphs of both equations cross the x-axis

Tags

CCSS.8.EE.C.8B

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Tags

CCSS.5.G.A.2

How many solution?

(Hint: Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

The graph of a system of equations with no solution results is parallel Lines because...

• they have the same slopes.

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts.

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Tags

CCSS.8.EE.C.8B

How many solutions does this system of equations have?

3x+y=-5

y=-3x+5

• No Solution

• Infinite Solutions

• One Solution

How many solutions does this system of equations have?
y= $\frac{1}{2}x$ -1 

y= $-\frac{3}{4}x\ +\frac{3}{4}$  

• One Solution

• Infinite Solutions

• No Solution

Does the system have one, none, or infinite solutions?

8x + 4y = 12

y = -2x + 3

• Infinite Solutions

• One Solution

• No Solution