Classifying Solutions to a System of Equations

Use your calculator to find the solution to the system of equations show below.

y = 1/2x + 2

y = -3x + 9

• Its solution is (2, 3).

• It has no solution.

• Its has an infinite number of solution.

• Its solution is (-3, 2).

Is the point (4, 1) a solution for the system of equations shown below?

y = -x + 5

y = 2x - 7

• Yes

• No

• Answer could not be determined.

• The system of equations has no solution.

Given the graph of a system of equations, what is the solution?

• It has one solution and it is (1, -1).

• It has no solution because the lines are parallel.

• The solution are (0, -2) and (-2, 0).

• Its has one solution and it is (0, 1).

The graph of a system of equation is shown below.

What is the point of intersection of the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

A system of equations is shown below

2x - y = 4

y = - 2x+8.

What is the value of x in the solution

for this system?

• x = 8

• x = 3

• x = 11

• x = 5

The two lines graphed on the coordinate grid each represent an equation.

Which ordered pair represents a solution to both equations?

• (-4, 0)

• (-2, 1)

• (0, -4)

• (1, -2)

Lisa and Tammy are selling items at the craft show. At what point on the graph will show a solution for the number of items sold when they both have earned the same amount?

• At point (1, 12)

• At point (3, 19)

• At point (5, 25)

• At point (0, 10)

What type of system of equations are

3x - 2y = 14 and 2x + 2y = 6?

• It could not be determined.

• Inconsistent System

• Dependent System

• Independent System

The graph of a system of equations is shown. How many solution does the system have?

• The system has no solution.

• The system has 1 solution.

• The system has an infinite number of solutions.

• The solution can not be determined.

What type of system of equations is shown by the graph?

• Independent System

• Dependent System

• Inconsistent System

• It could not be determined.