Put the steps in order that are used to solve the following systems of equations by substitution.−7x−2y=−13 x−2y=11 (10 points)Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.−16y−77=−13−16y=64x+8=11−14y−77−2y=−13y=−4(3,−4)x=3x−2y=11 --> x=2y+11−7(2y+11)−2y=−13x−2(−4)=11Skip to navigation

To solve the system of equations by substitution, follow these steps in order:

1. Rearrange one of the equations to isolate one variable.
   Suppose we take the second equation:
   \(x - 2y = 11\)
   Rearranging gives:
   \(x = 2y + 11\)

2. Substitute the expression for the isolated variable into the other equation.
   Substitute \(x = 2y + 11\) into the first equation:
   \(-7(2y + 11) - 2y = -13\)

3. Simplify the resulting equation.
   Distributing:
   \(-14y - 77 - 2y = -13\)
   Combine like terms:
   \(-16y - 77 = -13\)

4. Solve for the variable.
   Adding 77 to both sides:
   \(-16y = 64\)
   Dividing by -16:
   \(y = -4\)

5. Substitute back to find the other variable.
   Substitute \(y = -4\) back into \(x = 2y + 11\):
   \(x = 2(-4) + 11 = -8 + 11 = 3\)

6. Write the final solution as an ordered pair.
   The solution is:
   \((3, -4)\)

In summary, the correct order of responses is:

1. \(x - 2y = 11 \rightarrow x = 2y + 11\)
2. \(-7(2y + 11) - 2y = -13\)
3. \(-14y - 77 = -13\)
4. \(-16y = 64\)
5. \(y = -4\)
6. \(x = 3\)
7. \((3, -4)\)