Put the steps in order that are used to solve the following systems of equations by substitution.%0D%0A%0D%0A−7x−2y=−13%0D%0A−%0D%0A7%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A13%0D%0Ax−2y=11%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A11%0D%0A(10 points)%0D%0AArrange 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.%0D%0A%0D%0A−7(2y+11)−2y=−13%0D%0A−%0D%0A7%0D%0A(%0D%0A2%0D%0A%0D%0A+%0D%0A11%0D%0A)%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A13%0D%0A%0D%0A−14y−77−2y=−13%0D%0A−%0D%0A14%0D%0A%0D%0A−%0D%0A77%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A13%0D%0A%0D%0Ax=3%0D%0A%0D%0A=%0D%0A3%0D%0A%0D%0Ax−2y=11%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A11%0D%0A --> x=2y+11%0D%0A%0D%0A=%0D%0A2%0D%0A%0D%0A+%0D%0A11%0D%0A%0D%0Ay=−4%0D%0A%0D%0A=%0D%0A−%0D%0A4%0D%0A%0D%0Ax+8=11%0D%0A%0D%0A+%0D%0A8%0D%0A=%0D%0A11%0D%0A%0D%0Ax−2(−4)=11%0D%0A%0D%0A−%0D%0A2%0D%0A(%0D%0A−%0D%0A4%0D%0A)%0D%0A=%0D%0A11%0D%0A%0D%0A−16y−77=−13%0D%0A−%0D%0A16%0D%0A%0D%0A−%0D%0A77%0D%0A=%0D%0A−%0D%0A13%0D%0A%0D%0A−16y=64%0D%0A−%0D%0A16%0D%0A%0D%0A=%0D%0A64%0D%0A%0D%0A(3,−4)%0D%0A(%0D%0A3%0D%0A,%0D%0A−%0D%0A4%0D%0A)

Question

Put the steps in order that are used to solve the following systems of equations by substitution.%0D%0A%0D%0A−7x−2y=−13%0D%0A−%0D%0A7%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A13%0D%0Ax−2y=11%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A11%0D%0A(10 points)%0D%0AArrange 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.%0D%0A%0D%0A−7(2y+11)−2y=−13%0D%0A−%0D%0A7%0D%0A(%0D%0A2%0D%0A%0D%0A+%0D%0A11%0D%0A)%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A13%0D%0A%0D%0A−14y−77−2y=−13%0D%0A−%0D%0A14%0D%0A%0D%0A−%0D%0A77%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A13%0D%0A%0D%0Ax=3%0D%0A%0D%0A=%0D%0A3%0D%0A%0D%0Ax−2y=11%0D%0A%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A11%0D%0A --> x=2y+11%0D%0A%0D%0A=%0D%0A2%0D%0A%0D%0A+%0D%0A11%0D%0A%0D%0Ay=−4%0D%0A%0D%0A=%0D%0A−%0D%0A4%0D%0A%0D%0Ax+8=11%0D%0A%0D%0A+%0D%0A8%0D%0A=%0D%0A11%0D%0A%0D%0Ax−2(−4)=11%0D%0A%0D%0A−%0D%0A2%0D%0A(%0D%0A−%0D%0A4%0D%0A)%0D%0A=%0D%0A11%0D%0A%0D%0A−16y−77=−13%0D%0A−%0D%0A16%0D%0A%0D%0A−%0D%0A77%0D%0A=%0D%0A−%0D%0A13%0D%0A%0D%0A−16y=64%0D%0A−%0D%0A16%0D%0A%0D%0A=%0D%0A64%0D%0A%0D%0A(3,−4)%0D%0A(%0D%0A3%0D%0A,%0D%0A−%0D%0A4%0D%0A)

Answer 1

1. Solve one of the equations for one of the variables (in this case, solve the first equation for x: x = 2y + 11).

2. Substitute the expression for that variable into the other equation (replace x in the second equation with 2y + 11).
3. Simplify the equation by performing any necessary operations (in this case, distribute the -2 to each term inside the parentheses).
4. Solve the resulting equation for the remaining variable (in this case, solve for y: -16y - 77 = -13).
5. Substitute the value of y back into the expression for x (replace y in x = 2y + 11 with -4).
6. Simplify the expression for x to get the final solution (in this case, x = 3).
7. Write the final solution as the ordered pair (x, y) (in this case, (3, -4)).

Answer 2

1. Rearrange the first equation to solve for x in terms of y: x = 2y + 11.

2. Substitute the expression for x from step 1 into the second equation: 2(2y + 11) - 2y = 11.
3. Simplify and solve for y: 4y + 22 - 2y = 11.
4. Combine like terms: 2y + 22 = 11.
5. Solve for y: 2y = -11.
6. Divide both sides by 2: y = -4.
7. Substitute the value of y from step 6 into the expression for x from step 1: x = 2(-4) + 11.
8. Simplify and solve for x: x = 3.
9. The solution to the system of equations is (x, y) = (3, -4).

Answer 3

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

1. Rewrite one equation in terms of one variable.
- In this case, let's rewrite the equation x - 2y = 11 as x = 2y + 11.

2. Substitute the rewritten equation into the other equation.
- Replace the x in the equation -7x - 2y = -13 with the expression 2y + 11.
- So, we have -7(2y+11) - 2y = -13.

3. Simplify the equation.
- Distribute -7 to (2y+11), which gives -14y - 77 - 2y = -13.

4. Combine like terms.
- Combine the terms with y: -14y - 2y = -13 + 77.

5. Simplify further.
- Solve the equation -16y - 77 = -13 + 77.

6. Solve for y.
- Simplify: -16y - 77 = 64.

7. Add 77 to both sides: -16y = 141.

8. Divide by -16 to isolate y: y = -141/16.

9. Substitute the value of y back into the rewritten equation to solve for x.
- Substitute y = -141/16 into x = 2y + 11.

10. Simplify the equation and solve for x.
- x = 2(-141/16) + 11.

11. Multiply 2 by -141/16: x = -282/16 + 11.

12. Simplify the equation: x = -141/8 + 88/8.

13. Combine the fractions: x = -53/8.

Therefore, the solution to the given system of equations is x = -53/8 and y = -141/16, or approximately x = -6.625 and y = -8.8125.