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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.

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vocabulary
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
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
Example:
  • (EX 1) Graph the linear system and estimate the solution. Then check the solution algebraically.

4x + y = 8

2x – 3y = 18

practice problems
Practice Problems:
  • Page 153 (1-3)