3.1 Solve Linear Systems by Graphing

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# 3.1 Solve Linear Systems by Graphing - PowerPoint PPT Presentation

3.1 Solve Linear Systems by Graphing. Vocabulary. System of two linear equations : consists of two equations that can be written in standard or slope intercept form. Solution to a system of equations : ordered pair form, ( x,y ) , which satisfies both equations.

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### 3.1 Solve Linear Systems by Graphing

Vocabulary
• System of two linear equations: consists of two equations that can be written in standard or slope intercept form.
• Solution to a system of equations: ordered pair form, (x,y) , which satisfies both equations.
• Solution can be find when graphing two equations by finding the point the lines intersect.
Systems of Inequalities have 3 types of Solutions:
• 1) one solution: lines intersect
• 2) no solution: lines do not intersect
• 3) infinitely many solutions: same line
Example:
• (EX 1) Graph the linear system and estimate the solution. Then check the solution algebraically.

4x + y = 8

2x – 3y = 18

Practice Problems:
• Page 153 (1-3)