1 / 6

Solving Systems of Linear Equations:

Solving Systems of Linear Equations:. Substitution Method Tutorial 14b. 3 Methods to Solve. There are 3 methods that we can use to solve systems of linear equations. Solve by the Graphing Method Solve by the Substitution Method Solve by the Addition (Elimination) Method. -10 -10.

manny
Download Presentation

Solving Systems of Linear Equations:

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving Systems of Linear Equations: Substitution Method Tutorial 14b

  2. 3 Methods to Solve • There are 3 methods that we can use to solve systems of linear equations. • Solve by the Graphing Method • Solve by the Substitution Method • Solve by the Addition (Elimination) Method

  3. -10 -10 Substitution Method Solve x + 3y = 7 and 2x – 4y = -6. x + 3y = 7 • Solve one equation for one variable. • The first equation would be easiest since the x term already has a coefficient of one. -3y -3y x = 7 – 3y 2x – 4y = -6 • Substitute 7 –3y for x in the second equation. Then solve for y. 2(7 – 3y) – 4y = -6 • Substitute 2 for y in either one of the two original equations to find the value of the x coordinate. 14 – 6y – 4y = -6 14 – 10y = -6 -14 -14 x +3(2) = 7 x + 6 = 7 x = 1 • Step 4 is to check the answer. Click here! 2 1 -10y = -20 y = 2 1 1

  4. Substitution Method Solve x + 3y = 7 and 2x – 4y = -6. • The last step is to check your solution by substituting both values, x = 1 & y = 2, in both equations. x + 3y = 7 1 +3(2) = 7 1 + 6 = 7 7 = 7  2x – 4y = -6 2(1) – 4(2) = -6 2 – 8 = -6 -6 = -6  The solution of the system is (1, 2).

  5. Substitution Method: In Review Steps for the Substitution Method • Solve one equation for one of the variables. • Substitute the resulting expression in the other equation. Solve that equation. • Substitute the value of the variable from step 2 in either equation. Solve the resulting expression. • Check by substituting both values in both equations.

  6. The End Time to move on to the assignment or the next lesson

More Related