Graphing Systems of Equations

Graphing Systems of Equations

Solution for a Linear Equation

Let's look at some solutions/non-solutions for the equation y = 2x + 1.

Solutions: (2, 5) (4, 9) (-1, -1) (0, 1) (-5, -9)

Non-solutions: (3, 8) (5, 10) (0, 2) (-10, -21)

How are the solutions determined?

Multiple Choice

Which of the following would be a solution to the equation y = 3x + 2?

• (0, 3)

• (1, 6)

• (-1, 1)

• (5, 17)

Draw

Graph the equation y = 3x + 2. Circle ANY solutions located on the line.

What is a system of equations?

A system of equations is a set of two (or more) equations with the same variables (for example: x and y), which can be graphed on the coordinate plane.

Draw

Graph the system of equations:

y = 3x + 2

y = -2x + 7

Circle what you think the solution would be!

Multiple Choice

What is the solution to a system of equations?

• An ordered pair (point)

• The x-value of where the lines meet.

• The y-value of where the lines meet.

• Always at the origin.

Multiple Choice

What is the solution to this system of equations?

• (-1, 3)

• (-1, -3)

• (1, -3)

• (1, 3)

Multiple Choice

What is the solution to this system of equations?

• (-2, 2)

• (-2, -2)

• (2, -2)

• (2, 2)

Draw

Graph the system of equations AND state the solution:

y = 1/2 x + 4

y = -2x - 6