 # Homework Assignment Pg: 429 (1-3 all,6-8 all, 18,21,28)

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Homework Assignment Pg: 429 (1-3 all,6-8 all, 18,21,28)

Directions: Graph the following linear systems. 1.y= -x+2 y= x+2 Review Warm-Up Problem

Section 7.5 Special Types of Linear Systems There are ________ different categories of how many number of solutions there are in __________ systems. 1. Lines _______________. 2. Lines are _______________. 3. Lines that _______________.

Number of Solutions of a Linear System Lines Intersect 1.y= -2x+7 -y= -3x-2 Lines that intersect _________ have __________ solution.

Number of Solutions of a Linear System (cont.) Lines are Parallel 1.y= -2x+5 y= -2x+1 Lines that ___________ intersect have ____________ solutions.

Number of Solutions of a Linear System (cont.) Lines that Overlap 1.2x + y= 4 -4x –2y=-8 Lines that _______________ have ______________ solutions.

Example #1 Directions: Graph the Linear Systems and tell how many solutions it has. 1. 2x - 2y = 4 -x + y = -2 ________________ solutions

Example #2 Directions: Graph the Linear Systems and tell how many solutions it has. 2. -6x – 2y = 3 -4x + 4y = -6 ________________ solutions

Example #3 Directions: Graph the Linear Systems and tell how many solutions it has. 3. x + y = 8 x + y = -1 _______________ Solutions