Systems of Linear Equations and Inequalities

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 to this system of equations?

• Infinite Solutions
• One Solution
• No Solution
• (0, 0)

What is the solution to this system of equations?

• (2, -3)
• (-2, 3)
• (-3, 2)
• (3, -2)

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

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

• Parallel lines
• the same line 
• Intersecting lines

• no solution

• (-4, 1)

• (4, 1)

• (1, 4)

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 
• Infinite number of solutions  
• (−6, 10) 
• (6, 4) 

Use Elimination method to solve this system

-4x - 2y = -12

4x + 8y = -24

• (6,-6)

• (-6,6)

• (6,6)

• (-6,-6)

What is the
slope-intercept form
of the equation
-8x+2y=4

• none
• y=2-4x
• y=4x+2
• y=4x-8y

Solve using substitution:

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)