1 / 10

Solving Systems of Linear Equations

Solving a System of Equations by the Addition Method. Write both equations in standard form Ax By = C.Clear fractions or decimals (optional).Multiply one or both equations by a number to create opposite coefficients for one of the variables.Add the equations from step 3 to eliminate one variabl

larya
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 by using the Addition Method 3.3 SSC 105

    2. Solving a System of Equations by the Addition Method Write both equations in standard form Ax + By = C. Clear fractions or decimals (optional). Multiply one or both equations by a number to create opposite coefficients for one of the variables. Add the equations from step 3 to eliminate one variable. Solve for the remaining variable. Substitute the known value found in step 5 into one of the original equations to solve for the other variable. Check the ordered pair in both equations.

    3. Example Solve the system by using the addition method. 4x + 5y = 2 3x = 1 – 4y Step 1: Write both equations in standard form. 4x + 5y = 2 3x + 4y = 1 Step 2: There are no fractions or decimals.

    4. Example (continued) Solve the system by using the addition method. 4x + 5y = 2 3x = 1 – 4y Step 3: Multiply the first equation by 3. Multiply the second equation by –4. 4x + 5y = 2 12x + 15y = 6 3x + 4y = 1 –12x – 16y = –4 Step 4: Add the equations. 12x + 15y = 6 –12x – 16y = –4 –y = 2

More Related