• 1.) Find the x – intercept of the graph of y = |x +
1|.
• 2.) Express the cost C of x ball game tickets at a price of $18 per ticket.

Algebra II

• Solve systems of linear equations.

• System of two linear equations – also called a linear system, consists of two equations that can be written in the following form:
 Ax + By = C Equation 1
 Dx + Ey = F Equation 2
• Solution of a system – is an ordered pair (x, y) that satisfies each equation.

Example 1 – Solve a system graphically
• Graph the linear system and estimate the solution. Then check the solution algebraically.
• 5x – 2y = -10
• 2x – 4y = 12

• Classifying systems
• Consistent – a system with at least one solution.
• Inconsistent – a system with no solution.
• Independent – a consistent system that has exactly one solution
• Dependent – a consistent system with infinitely many solutions

Number of Solutions of a Linear
System
• The relationship between the graph of a linear system and the system’s number of solutions is described below.
• Exactly one solution – lines intersect at one point; consistent and independent
• Infinitely many solutions – lines coincide; consistent and dependent
• No Solution – lines are parallel; inconsistent

Example 2 – Solve a system with many solutions
• Solve the system. Then classify the system as consistent and independent, consistent and dependent, or inconsistent.
• 6x – 2y = 8
• 3x – y = 4

Example 3 – Solve a system with no solution
• Solve the system. Then classify the system as consistent and independent, consistent and dependent, or inconsistent.
• -4x + y = 5
• -4x + y = -2

• Pg. 156 (10 – 14 even, 18 – 24 even)