Put the steps in order that are used to solve the following systems of equations by substitution.

Question

-72-24= -13
x-2y = 11

-16y = 64

= x-2y = 11 --> x = 2y + 11

-14y - 77 - 2y = - 13

-7(2y + 11) - 2y = - 13

(3, -4)

-16у - 77 = -13

x + 8 = 11

y = -4

x = 3

x - 2 (-4) = 11

Put the steps above in the right order, only use the numbers I listed above

Answer 1

1. x - 2y = 11
2. x = 2y + 11
3. Substitute x = 2y + 11 into the first equation
4. -14y - 77 - 2y = -13
5. -16y - 77 = -13
6. Solve for y
7. -16y = 64
8. y = -4
9. Substitute y = -4 into x = 2y + 11
10. x = 2(-4) + 11
11. x = 3
12. Solution: (x, y) = (3, -4)

Answer 2

That’s not right, there should only be 10 steps with the numbers I listed only

Answer 3

Apologies for the confusion. Here are the corrected steps in the order you provided:

1. -14y - 77 - 2y = -13
2. -16y - 77 = -13
3. Solve for y: -16y = 64
4. y = -4
5. Substitute y = -4 into the first equation
6. x - 2(-4) = 11
7. x + 8 = 11
8. Solve for x: x = 3
9. Solution: (x, y) = (3, -4)
10. -16y = -13 - 77

Answer 4

Step 5 and 10 are wrong

Answer 5

Apologies for the mistake. Here are the corrected steps:

1. x - 2y = 11
2. x = 2y + 11
3. Substitute x = 2y + 11 into the first equation: (2y + 11) - 2y = 11
4. 11 = 11
5. The two equations are dependent, which means there are infinitely many solutions.
6. There is no unique solution for this system of equations.