Solving System of Equations By Elimination Online Tutoring

Solving System of Equations 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 = -5 and x y = 3? Solution: The given equations are x + y = -5 and x y = 3. Here x, y are the unknown variables. Eliminate the variable y. Add the two equations gives: (x+ y) + (x y) = -5 + 3. This gives 2x = -2; x = -2/2; x = -1. For the y values x + y = -5; -1 + y = -5. Y = -5 + 1 = -4. Hence the solution is x = -1 and y = -4. Example 2: Solve by elimination the set of equations x + y = 8 and x y = 3? Solution: The given equations are x + y = 8 and x y = 3. Here x, y are the unknown variables. Eliminate the variable y. Add the two equations gives: (x+ y) + (x y) = 8 + 3. This gives 2x = 11; x = 11/2; x = 5.5. For the y values x + y = 8; 5.5 + y = 8. Y = 8 5.5 = 2.5. Hence the solution is x = 5.5 and y = 2.5.