Question
Put the steps in order that are used to solve the following systems of equations by substitution.
−7x−2y=−13 x−2y=11
Answers:
-14y - 77 - 2y = -13
-16y - 77 = -13
x- 2y = 11 --> x = 2y + 11
x+8 = 11
7(2y+11) - 2y = -13
-16y=64
x - 2 (-4) = 11
x=3
y = -4
(3,-4)
Remember to use the answers ONLY PROVIDED TO YOU!!!
−7x−2y=−13 x−2y=11
Answers:
-14y - 77 - 2y = -13
-16y - 77 = -13
x- 2y = 11 --> x = 2y + 11
x+8 = 11
7(2y+11) - 2y = -13
-16y=64
x - 2 (-4) = 11
x=3
y = -4
(3,-4)
Remember to use the answers ONLY PROVIDED TO YOU!!!
Answers
GPT-4o mini
To solve the system of equations by substitution using the provided steps, we can put them in the correct order as follows:
1. \( x - 2y = 11 \) --> \( x = 2y + 11 \)
2. \( 7(2y + 11) - 2y = -13 \)
3. \( -14y - 77 - 2y = -13 \)
4. \( -16y - 77 = -13 \)
5. \( -16y = 64 \)
6. \( y = -4 \)
7. \( x - 2(-4) = 11 \)
8. \( x + 8 = 11 \)
9. \( x = 3 \)
10. \( (3, -4) \)
So, the final order of the steps is:
1, 7, 8, 9, 10, 2, 3, 4, 5, 6.
(Note: Steps 2 and 3 can also be interchangeable based on their dependencies).
1. \( x - 2y = 11 \) --> \( x = 2y + 11 \)
2. \( 7(2y + 11) - 2y = -13 \)
3. \( -14y - 77 - 2y = -13 \)
4. \( -16y - 77 = -13 \)
5. \( -16y = 64 \)
6. \( y = -4 \)
7. \( x - 2(-4) = 11 \)
8. \( x + 8 = 11 \)
9. \( x = 3 \)
10. \( (3, -4) \)
So, the final order of the steps is:
1, 7, 8, 9, 10, 2, 3, 4, 5, 6.
(Note: Steps 2 and 3 can also be interchangeable based on their dependencies).