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Solving Linear Systems Algebraically and Graphically Review

Review of systems of equations, solving algebraically and graphically, set equations equal to solve for variables, importance of solving linear equations. Homework on Page 31.

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Solving Linear Systems Algebraically and Graphically Review

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  1. SWBAT: Solve linear systems algebraically and graphically Day 4 Review of systems of equations

  2. SWBAT: Solve linear systems algebraically and graphically Page 27

  3. SWBAT: Solve linear systems algebraically and graphically Page 27 Set equations equal to solve for x 4x + 4 = x - 2 Subsitute in to solve for y -x = -x y = x - 2 Solution (-2,-4) 3x + 4 = - 2 y = (-2) - 2 -4 = -4 y = - 4 3x = - 6 x = - 2

  4. SWBAT: Solve linear systems algebraically and graphically Page 27

  5. SWBAT: Solve linear systems algebraically and graphically Page 27 Systems of equations, or more than one equation, arise frequently in mathematics. To solve a system means to find all sets of values that simultaneously make all equations true. Of special importance are systems of linear equations. You have solved them in your last two Common Core math courses, but we will add to their complexity in this lesson.

  6. SWBAT: Solve linear systems algebraically and graphically Page 28 Solution (-5,3) 2.) Substitute into the other equation: 3x + 2y = -9 3x + 2(-2x-7) = -9 1.) Isolate one variable: 3x - 4x -14 = -9 2x + y = -7 -x -14 = -9 y = -2x - 7 -x = 5 3.) Substitute into one of the original equations to find y: x = -5 2x + y = -7 2(-5) + y = -7 y = 3

  7. SWBAT: Solve linear systems algebraically and graphically Page 28 Solution (-5,3) Look to eliminate one variable by adding the both equations : 3x + 2y = -9 2x + y = -7 3x + 2y = -9 -4x - 2y = +14 2(-5) + y = -7 2x + y = -7 -2( ) y = 3 -x = 5 x = -5

  8. SWBAT: Solve linear systems algebraically and graphically Page 28 -2( ) 3x + y = 4 -6x - 2y = - 8 6x + 2y = -4 6x + 2y = -4 0 = -12 NO SOLUTION Same Slope different y-intercept.

  9. SWBAT: Solve linear systems algebraically and graphically Page 29 Solution (2,3) Slope m = Y-Intercept b = Slope m = Y-Intercept b =

  10. SWBAT: Solve linear systems algebraically and graphically Page 29

  11. SWBAT: Solve linear systems algebraically and graphically Page 30 m a 14a + m = 152 6a + 9m = 168

  12. SWBAT: Solve linear systems algebraically and graphically Page 30

  13. SWBAT: Solve linear systems algebraically and graphically Page 30

  14. SWBAT: Solve linear systems algebraically and graphically Page 30 Homework on Page 31 SHOW WORK ON SEPARATE SHEET

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