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Unit 1: Everything Linear

Homework: pg 141 # 3-9, 69 – due Tuesday . Unit 1: Everything Linear. Section 6 : Solving Systems of Equations with Graphing. Learning Target: Students will solve systems of equations by graphing and relate to real-world situations.

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Unit 1: Everything Linear

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  1. Homework: pg 141 #3-9, 69 – due Tuesday Unit 1: Everything Linear Section 6: Solving Systems of Equations with Graphing Learning Target: Students will solve systems of equations by graphing and relate to real-world situations.

  2. Ex 1: Solve y = -3x + 2 for x and y.       y = 2x - 3 • Graph both equations. • Find where they meet each other. ( , ) • Check your solution in both equations.

  3. Ex 2: Solve y = ½x -3 for x and y.       y = 2x • Graph both equations. • Find where they meet each other. ( , ) • Check your solution in both equations.

  4. Ex 3: Solve y = -½x + 4 for x and y.       y = -½x - 5 • Graph both equations. • Find where they meet each other. • What do you think your solution is this time?

  5. Ex 4: Use the graphing calculator to predict at what year men and women will live to an equal age. U.S. Life Expectancy at Birth

  6. Directions for graphing calculator. • Re-number the years starting by changing 1970 to 0, then 1975 is 5, and so on. • Go to STAT and EDIT. Enter the chart into L1, L2 and L3. • To get the equation for the Men through the Years: Hit STAT Go over to CALC Hit LINREG (ax+b) L1, L2 *the comma is above 7 *L1 is above 1 *L2 is above 2 Hit ENTER and write the equation (round 3 decimal places) • To get the equation for the Women through the years: Hit STAT Go over to CALC Hit LINREG (ax + b) L1, L3 Hit ENTER and write the equation. • Go to Y= and enter both equations into the calculator. • Hit ZOOM and ZOOMFIT (this is 0) • Hit 2ND and TRACE and INTERSECT (5) • Hit ENTER 3 times • Round the x-value to the nearest whole number and figure out which year that would be

  7. HOMEWORK • Pg141 #3-9, 69 * Due on Tuesday

  8. Ex 2: Solve y = ½x -3 for x and y.       3x + 2y = 2 • Graph both equations. Solve 2nd equation for y = mx + b • Find where they meet each other. ( , ) • Check your solution in both equations.

  9. Ex 2: Solve y = 5/3 x - 2 for x and y.       10x - 6y = 12

  10. What is the difference between Many Solutions and No Solutions? Describe what their equations look like and what their graphs look like.

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