Solving Systems By Elimination - Online tutoring

Solving Systems By Elimination - Online tutoring Elimination is a very useful method in mathematics. The method elimination one of the unknown variable is eliminated to find the other variables and vice versa. I helps reduce the given question or solution to a simpler form. Expressions can consist of one or more than one unknown variables with different coefficients and constant numbers. Example 1: Solve by elimination the set of equations x + y = 15 and x y = 7? Solution: The given equations are x + y = 15 and x y = 7. Here x, y are the unknown variables. Eliminate the variable y. Add the two equations gives: (x+ y) + (x y) = 15 + 7. This gives 2x = 22; x = 22/2; x = 11. For the y values x + y = 15; 11 + y = 15. Y = 15 11 = 4. Hence the solution is x = 11 and y = 4. Example 2: Solve by elimination the set of equations x + y = 20 and x y = 6? Solution: The given equations are x + y = 20 and x y = 6. Here x, y are the unknown variables. Eliminate the variable y. Add the two equations gives: (x+ y) + (x y) = 20 + 6. This gives 2x = 26; x = 26/2; x = 13. For the y values x + y = 20; 13 + y = 20. Y = 20 13 = 7. Hence the solution is x = 13 and y = 7.