System of Equations Using Graphing

A system has ____________ when two lines intersect at one point. 

• One solution

• No solution

• Infinitely Many Solution

To find a solution by graphing is to find the point where two lines intersect.

• True

• False

Solve by graphing. Show all work on a graph paper.

• (2, 7)

• (7,6)

• (-6,1)

• No Solution

For equations below, which method is easier to use? Why?

• Graphing, because both are already in y = mx + b form. Also, substitution, because one equation is already solved for y. 

• Elimination, because both are already in ax + by = c form. 

• Elimination, because both are already in ax + by = c form. Also, graphing, because both are already in y = mx + b form. 

• None.

Write equations to find total amount of savings for Theresa and Cary.

• Theresa: y = 5x + 1
  Cary: y = x + 3

• Theresa: y = x + 5
  Cary: y = 3x + 1

Solve the following system of equations by graphing:

• Infinite solutions

• (2, -2)

• (1, 0)

• (3, -4)

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

• A

• B

• C

• D

Solve by graphing:
y=5x+3

y=-2x-4

• (2,-1)

• (-1,-2)

• (1,-2)

• (-2,-1)

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)