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Systems of Equations

Systems of Equations. Solving by Graphing. Systems of Equations. One way to solve equations that involve two different variables is by graphing the lines of both equations on a coordinate plane.

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Systems of Equations

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  1. Systems of Equations Solving by Graphing

  2. Systems of Equations • One way to solve equations that involve two different variables is by graphing the lines of both equations on a coordinate plane. • If the two lines cross the solution for both variables is the coordinate of the point where they intersect.

  3. y = 2x + 0 & y = -1x + 3 Slope = 1/-1 Y Slope = 2/1 y-intercept= 0 X Up 2 and right 1 Up 1 and left 1 y-intercept= +3 (1,2) The solution is the point they cross at (1,2)

  4. y = x - 3 & y = -3x + 1 Slope = 3/-1 Y Slope = 1/1 y-intercept= -3 X y-intercept= +1 The solution is the point they cross at (1,-2)

  5. Graph y = x -3y = x + 2 Y X Solution= none

  6. IDENTIFYING THE NUMBER OF SOLUTIONS NUMBER OF SOLUTIONS OF A LINEAR SYSTEM y y y x x x Lines intersect one solution Lines are parallel no solution Lines coincide infinitely many solutions

  7. Name the Solution

  8. Name the Solution

  9. Name the Solution

  10. Systems of Equations Solving by Graphing

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