Systems of Equations Using the Graphing Method

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Identify which method for solving systems is being described by this fact: The intersection point of the two lines is an ordered pair (x, y) and determines the value of the solution to the system of equations.

• Graphing

• Substitution

• Elimination (linear combination)

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

Solve the following system by graphing.  What is the solution? (a)  

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Tags

AI.9.3.F

Solve the system of equations by graphing or setting up an equation.

Plot the solution on the graph.

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The lines are perpendicular which means they will not ever cross.

• The lines will not intersect, so the system has no solution

• The slope(m) of the lines are equal

• The line are parallel, so the system has no solution

• The lines will eventually touch, so the system has one solution

• The slopes are equal, so the system has infinitely many solutions

Graph the systems of equations. What is the solution?

What is the solution to the system?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)