Download
solving systems of equations by substitution n.
Skip this Video
Loading SlideShow in 5 Seconds..
Solving Systems of Equations by Substitution PowerPoint Presentation
Download Presentation
Solving Systems of Equations by Substitution

Solving Systems of Equations by Substitution

251 Views Download Presentation
Download Presentation

Solving Systems of Equations by Substitution

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. Solving Systems of Equations by Substitution Objectives: Solve Systems of Equations using substitution. Solve Real World problems involving systems of equations.

  2. Systems of Equations Review • How many ways can two lines lie on a coordinate plane? • What is the solution for a system of equations in each case?

  3. Substitution • Solve each system of equations and state the solution(s) if solution(s) exist. Y = 5xand 2x +3y = 34 2x+3( ) = 34 2x + 15x = 34 17x = 34 17 x = 2 5x Y = 5( ) Y = 10 2 Solution =(2, 10)

  4. Substitution • Solve each system of equations and state the solution(s) if solution(s) exist. X + y = 16 and 2y = 2x + 2 y = 16 - x 2( ) = 2x + 2 32 – 2x = 2x + 2 32 = 4x + 2 30 = 4x 7.5 = x 16 - x

  5. Substitution • Solve each system of equations and state the solution(s) if solution(s) exist. X + 3y = 12 and x – y = 8

  6. Substitution • Solve each system of equations and state the solution(s) if solution(s) exist. Y= 3/5 x and 3x – 5y = 15

  7. Substitution • Solve each system of equations and state the solution(s) if solution(s) exist. Y=3x+2 and 6x -2y = -4

  8. Substitution • C – 5d = 2 and 2c + d = 4

  9. Substitution • 5r – s = 5 and -4r + 5s = 17

  10. Assignment • Page 379 #11-17 • SHOW WORK!!! • Remember Solution is an ordered pair.

  11. Second Page

  12. Second Page