Solving pairs of linear equations in two variables

What is the solution to a system of equations?

• The point that the equations have in common.

• The point where the two lines of the equations intersect.

• All of the above.

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

• 
• 
• 
• 

• The solution to the system is (2, 3).

• The solution to the system is (36, 28).

• The solution to the system is (28, 36).

• The solution to the system is (1, 8).

Miracle graphed two lines in order to find the solution to a given system of equations. What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution

• (6, -2)

The solution to a system of equations is the place at which the lines ___________.

• intersect.

• have the same slope.

• have the same domain.

What are some problems with solving by graphing?

• Your graph has to be perfect to get an answer

• Any mistake and your answer will be wrong

• Takes a long time to graph both lines and solve

• Need a coordinate grid to graph the lines correctly

• Need a ruler to make a straight line

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Ms. Harris graphed this system.

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Lisa and Tammy are selling items at the craft show. Which option below might be a reasonable solution from the graph to determine the number of items sold when they both have earned the same amount?

• (1, 12)

• (3, 19)

• (5, 25)

• (0, 10)