This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: § 4.3 Solving Systems of Linear Equations by Addition MartinGay, Beginning and Intermediate Algebra, 4ed 2 The Addition Method Another method that can be used to solve systems of equations is called the addition or elimination method . You multiply both equations by numbers that will allow you to combine the two equations and eliminate one of the variables. MartinGay, Beginning and Intermediate Algebra, 4ed 3 Solve the following system of equations using the addition method. 6 x – 3 y = –3 and 4 x + 5 y = –9 Multiply both sides of the first equation by 5 and the second equation by 3. First equation, 5(6 x – 3 y ) = 5(–3) 30 x – 15 y = –15 Use the distributive property. Second equation, 3(4 x + 5 y ) = 3(–9) 12 x + 15 y = –27 Use the distributive property. The Addition Method Continued. Example : MartinGay, Beginning and Intermediate Algebra, 4ed 4 Combine the two resulting equations (eliminating the variable y ). 30 x – 15 y = –15 12 x + 15 y = –27 42 x = –42 x = –1 Divide both sides by 42. The Addition Method Continued....
View
Full
Document
This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.
 Fall '10
 Alraban
 Math, Systems Of Equations, Addition, Equations

Click to edit the document details