Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordere
d 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
1 answer:
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
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