Elimination+Level+4

Grade 10 Math Systems of Equations Elimination Elimination Level 1 Elimination Level 2 Elimination Level 3

1) 2x - 3y = 17 2) 2x + 2y = 22
 * Level 4: Multiplying both equations**

Notice that none of the values of the terms match up. In this case, both equations will need to be multiplied in order to eliminate one of the terms. Since the y-terms are already opposite signs, it will be easier to eliminate the y-term.

2 x 1) 4x - 6y = 34 [Determine the lowest common multiple of the term to be eliminated] 3 x 2) 6x + 6y = 66 [Multiply each equation by the appropriate factor]

10x = 100 [Eliminate] x = 10 [Solve]

Substitute x = 10 into 1) [Substitute found value into one equation in order to determine other variable] 1) 4x - 6y = 34 4(10) - 6y = 34 [Solve] 40 - 6y = 34 - 6y = 34 - 40 -6y = - 6 y = 1

Check (10, 1) in 2) [Check solution in the other equation] 2) 2x + 2y = 22 L.S. = 2x + 2y R.S. = 22 = 2(10) + 2(1) = 20 + 2 = 22 = R.S.

Therefore, the solution of the system is (10, 1) [State the solution]