Solving Systems of Equations and Inequalities

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

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

Solve by elimination:
2x - 3y = -6
-2x - 2y = 26

• (-9,-4)
• (9,4)
• (4,9)
• (-4,-9)

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

• (5, 1)

• (1, 5)

• (5, -1)

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

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

• Parallel lines
• the same line 
• Intersecting lines

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing