Elimination+Level+1

Grade 10 Math Systems of Equations Elimination


 * Level 1**

1) x + y = 9 2) x - y = 3


 * Notice how the two y-terms have the same value (one) but are opposite in sign. If you add the two equations together, the y-terms will cancel out.**

1) x + y = 9 +2) x - y = 3 [Eliminate a variable]

2x = 12 [Solve] x = 6

1) x + y = 9 [substitute found value in one equation] (6) + y = 9 [solve] y = 9 - 6 y = 3

Check in (2) [check solution in other equation]

L.S. = x - y R.S. = 3 = (6) - (3) = 3 = R.S.

Therefore, the solution to the system is (6, 3) [state the solution]

Elimination Level 2