Algebra Honors

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

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

What is the solution?

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

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Solve.

3x + 2y = 16 and

7x + y = 19

*work required

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

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

• Parallel lines
• the same line 
• Intersecting lines

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

*work required

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Find the solution to this system of equations:

y = -6x + 5

-2x + y = 5

*work required

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

A system of linear equations is... 

• Math Magic
• One Equation
• Always more than 2 equations
• A set of 2 or more equations

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

*work required

• yes
• no