12/22 Systems of Linear Equations

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

How many solutions does this linear system have?

• One Solution
• No Solutions
• Infinite Solutions
• Two Solutions

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

• intersecting lines

• parallel lines

• skew lines

• one line

What is the solution to this system of equations?

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

Which image shows a system of linear equations with infinitely many solutions?

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You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs

What is the solution to the following system?

y=4x-9

y=x-3

• (0, -9)

• (2, -1)

• (4, 3)

• (3, 1)

Find the solution to the system

4x – 3y = 5

y = 2x – 3

• (2,1)

• (1,2)

• (2,2)

• (-2,1)

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)