Presentation on theme: "6.3 – Solving Systems of Linear Equations by Elimination."— Presentation transcript:
1 6.3 – Solving Systems of Linear Equations by Elimination. Definitions of the Day (DODs)Review of Ch 6 Systems of Equations So Far…6.1 Graphing6.2 Substitution Method6.3 Elimination Method
2 Definition: Elimination Method –Eliminate one of the variables by adding (or subtracting) the equations of the system. Let us Explore…xy10+=Top Equation+x(-y=)+36Bottom Equation2x = 46Y has been ELIMINATEDx23, y =-13=Solve for x,Substitute for y
3 Steps to the Elimination Method!! Pick One Variable to Eliminate! (Either x or y.)2. Eliminate the Variable by adding or subtracting the equations together.3. Substitute & Solve for the last Variable.
9 Example #5 (Infinitely Many Solutions) x + 4y = 13x + 12y = 3
10 Your Turn!! Solve by ELIMINATION 1. X+ y = 12 2. 4x - 2y = 6
11 Sentence FramesThe Goal of Solving a System of Equations by Elimination is __________________________________________________________________________________________________The Three methods for solving a System of Equations are1. _______________2. _______________3. _______________