Systems of Equations

The graphs of two equations are shown. Which statement is true about the solution of this system of equations?

• The solution is a line.

• The solution is a point.

• There are no solutions.

• There are infinitely many solutions.

Which ordered pair represents the solution to the equations shown in the graph?

• (0, 6)

• (6, 0)

• (0, 10)

• (10, 0)

Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?

• 
• 
• 
• 

A system of equations is graphed above. What is the solution to the system of equations?

• (0, -6)

• (-2, -3)

• (-3, -2)

• (-4, 0)

Jessica is solving the system of equations shown below.

y = 3x + 2

y = 2x + 7

If she graphs this system on a coordinate plane, how could she interpret the solution of this system?

• The system will be parallel.

• The system will be one line.

• The system will intersect at one point.

• The system will intersect at two different points.

What kind of lines have no solution to a system of equations

• Parallell Lines
• Overlapping lines
• Intersecting Lines
• Skew Lines

Find the solution to the system.
y = x-6
y = -3x + 2

• (0, -6)
• (6, 0)
• (-4, 2)
• (2, -4)

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

• solution of a system
• elimination method
• system of equations
• table

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)