Solving System of Equations by Graphing

Solving System of Equations by Graphing

We can solve system of equations. by graphing

The solution is where the two lines intersect

One Solution

Here the is one solution

No solution

Many Solutions

• Same LIne

• Coinciding Lines

Multiple Choice

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

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

Multiple Choice

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Multiple Choice

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Multiple Choice

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Multiple Choice

The solution to this system of equations is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Multiple Choice

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

How can I graph using the graphing calculator?

• Input the equations into y =

• The equations need to be in y = form

• Next hit the graph key

• Hit trace, use the arrow keys to find the intersection

What is the solution to the equations

y = 2x

y = -2x + 1

• Input the equations into y =

• Graph it

• 2nd calc, 5 enter, enter, enter

• ON the bottom will be the intersection

YOUR TURN

Multiple Choice

What is the solution to the equations

y = -2x + 6

y = 2x - 2

• (2, 2)

• (3, 3)

• (-3, 3)

Multiple Choice

What is the solution?

y = 3x

y = -x + 4

• (3, 1)

• (1, 3)

• (2, 4)

Multiple Choice

WHat is the solution to

y = 4x + 8

y = 4x -3

• many solutions

• (1, 2)

• No solution

Multiple Choice

Solve the following

y = -3x + 2

y = 2x - 3

• (-1, 1)

• (1, -1)

• (1, 1)

Sometime you have to graph the points to get the solution

Find the solution to the two lines

line 1 points (1,1) and (3,3)

line 2 points (0, 3) and (1, -5)

Here's another one

Find the solution to the two lines

line 1 points (1,1) and (3,3)

line 2 points (0, 3) and (1, -5)