Elimination+Level+2

Grade 10 Math Systems of Equations Elimination Elimination Level 1

1) 5x + y = 17 2) 2x + y = 8
 * Level 2: Terms with the Same Sign**


 * Notice how the two y-terms have the same value and the same sign. If you multiply one of the equations by negative one, the y-term will be eliminated when the two equations are added.**

1) 5x + y = 17 -2) -2x - y = -8 [Multiply one equation by negative one]

3x = 9 [Add] x = 3 [Solve]

Substitute x = 3 in (1)

1) 5x + y = 17 [Substitute found value in one equation to solve for other variable] 5(3) + y = 17 15 + y = 17 [Solve for other variable] y = 17 - 15 y = 2

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

2) 2x + y = 8

L.S. = 2(3) + (2) R.S. = 8 [Substitute and evaluate] = 6 + 2 = 8 = R.S.

Therefore, the solution to the system is (3, 2)

Elimination Level 3