Systems of Linear Equations

Solving Systems of Linear Equations

By Graphing

What are systems of linear equations?

Two or more linear equations that can be graphed on the same plane

The solution, if there is one, is the point where both graphs intersect.

In this case, the solution is (-3, 3)

Multiple Choice

^{What is the solution?}

• 1

• -2

• (1, 2)

• (1, -1)

Multiple Choice

What is the solution?

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

Multiple Choice

Buzz graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Multiple Choice

Which of the following shows the solution to the system?
 y= -1/4x + 4
y = 2x + 2

• A
• B
• C
• D

Multiple Choice

What is the solution to this system of linear equations?

• (6, -5)

• (6, 5)

• (-5, 6)

• (5, 6)

Multiple Choice

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Multiple Choice

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

• Parallel lines

• the same line

• Intersecting lines

Multiple Choice

How many solutions will this system have?

• No solution

• One Solution

• Infinitely Many Solutions

Multiple Choice

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.

Multiple Choice

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

• intersecting lines

• parallel lines

• skew lines