Systems of Equations - Does the Coordinate Given Work

A bag contains 77 coin consisting of quarters and nickels. The total value of coins is $13.05. Which system of equations can be used to determine the number of quarters, q, and the number of nickels, n, in the bag?

Which system of equations represents lines f and g?

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

The x and y values that makes both equations in the system is called the____________________________.

• system of equations

• function

• graph

• solution of the system

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution to the system?

• (1, 3)

• (0, 3)

• (3, 1)

• (3, 0)

How can you tell if a point is a solution to a system from a graph?

• It makes the first equation true.

• It is the point where the lines intersect ( cross)

• It makes logical sense

• It makes neither equation negative

Systems of equations can have 3 solution types. What are the 3 solution types?

• Infinitely Many Solutions

• No Solutions

• One Solution

• Only 3 Solutions

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines