Classify a System of Equations

Parallel Lines have how many solution(s)?

• No solution

• One solution

• Infinitely Many Solutions

What is the solution to this system of equations?

• (1,0)

• (-3, -1)

• (-1,-3)

• (1,3)

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Solve the system. The graph for -2x+y=5 is given here.

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Solve the system. The graph for y=2x+1 is given here.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

WITHOUT GRAPHING
what can you say about these lines

• Consistent and Dependent

• Consistent and Independent

• Inconsistent and Dependent

• Inconsistent and Independent

WITHOUT GRAPHING
what can you say about these lines

• Consistent and Dependent

• Consistent and Independent

• Neither

• Inconsistent

Which of the following options is a solution to the system provided? Confirm by directly plugging in the solutions below to the system (Section 3.1):

• (3, 2)

• (2, 3)

• (4, 1)

• (1, 4)

Solve the following system of equations using the process of elimination. If your results involve a special case of linear systems, classify the appropriate response as "infinitely many solutions" or "no real solutions." (Section 3.2, Part 2)

• (3, 2)

• Infinitely Many Solutions

• (-4, 7)

• (3, -4)

Solve the following system of equations using the process of substitution. If your results involve a special case of linear systems, classify the appropriate response as "infinitely many solutions" or "no real solutions." (Section 3.2)

• No Real Solutions

• Infinitely Many Solutions

• (0, 9)

• (10, -1)