Question

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

Answer 1

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