Solving System of Equations by Graphing

Solving System of Equations by Graphing

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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)