# Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair. Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair. x - 2y = 0 5x + 2y = 24

Substitution: Step 1: Choose one of the two equations and solve for either x or y. x - 2y = 0 + 2y +2y -------------------------- x = 2y + 0 Step 2: Plug in the value you got for x or y into the equation you did not work with in Step 1. 5(2y + 0) + 2y = 24 10y + 0 + 2y = 24 12y = 24 ------- ------ 12 12 y = 2 Step 3: Plug in the number you got for y into either equation. 5x + 2(2) = 24 5x + 4 = 24 - 4 - 4 --------------------------- 5x = 20 ------ ------ 5 5 x = 4 Your final answer should be written as a coordinate pair: (4,2). ____________________________________________________________ Elimination: Add the two equations together to eliminate y. x - 2y = 0 + 5x + 2y = 24 ---------------------- 6x = 24 ------ ------ 6 6 x = 4 Step 2: Substitute the x value into the original equation to find y. 5(4) + 2y = 24 20 + 2y = 24 - 20 - 20 -------------------------- 2y = 4 ------ ----- 2 2 y = 2 I hope this answer helps you :D