13.1B - Solving Systems of Equations with a Calculator

Show your work on lined paper!

Warm UP

​This means that all of the lines will overlap and there will be infinite number of solutions!

Multiple Choice

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Multiple Choice

The system's solution occurs at

• (1, 4)

• (4, 1)

• (-4, 1)

• No solution

Multiple Choice

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

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

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Multiple Choice

A consistent system that has infinitely many solutions is

• dependent

• consistent

• independent

• inconsistent

Multiple Choice

A consistent system that has exactly one solution

• inconsistent

• consistent

• dependent

• independent

Multiple Select

The system of equations shown in the graph can be described using which word(s). Select one or all that apply.

• Consistent

• Inconsistent

• Dependent

• Independent

Here are some important feature you need to know about on your TI Calculator!

Let's get started!

Take a moment to locate the "on" button.

-

Now find the blue "2nd" button. This unlocks the blue labels on the calculator so that each button has a new function.

-

Try pressing "2nd" and "on" to turn the calculator back off!

Helpful buttons!

Now find the button. You will need this in a moment to type in the x in your equation.

More helpful buttons!

Important: The "Window" button controls what we can see when we graph an equation on the calculator. If at any time you cannot see the intersection of the lines, you should press window and edit the numbers like what you see here. This will center the graph around the origin.

SCREENSHOT THIS SLIDE!

A few more buttons

Now we're ready to graph our first system on the calculator!!!

Grab your headphones and let's go!

Let’s watch and learn

Watch the video
CAREFULLY and pause so
that you can push the
buttons along with the
instructor. The video will stop at 2:30.

By the end of this
video, you should be
able to solve a system
of equations using your
calculator.

Multiple Choice

To solve a system of equations on your calculator you must do what first?

• Press "y="

• Press enter 3 times

• Put your equation into slope-intercept form

• Press "2nd"

Multiple Choice

What is the solution to this system of equations?

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Fill in the Blanks

Solve the system. Do not use spaces in your answer.

Multiple Choice

What is the solution to this system of equations?

3x + 2y = 16

7x + y = 19

Hint: Put in slope intercept form first! DO NOT TRY MENTAL MATH!

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Fill in the Blanks

Solve the system. Do not use spaces in your answer.

Fill in the Blanks

Solve the system. Do not use spaces in your answer.

Multiple Choice

Solve using substitution:

y=8x+1 y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Multiple Choice

Solve using substitution:

HINt: You have to isolate y first.

y = -1x - 5

4x - 8y = 4

• (-3, -2)

• (5, -7)

• (3, 9)

• (-5, 4)

Fill in the Blanks

What is the solution to this system? Use substitution

y= 2(x+1) + 2x

8x - 2y = -6