Question

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

Answer 1

1. Start with the given system of equations:
-72 - 24 = -13
x - 2y = 11

2. Solve one equation for one variable. In this case, solve the second equation for x:
x = 2y + 11

3. Substitute the value of x from step 2 into the first equation:
-72 - 24 = -13

4. Simplify the equation:
-96 = -13

5. Solve for y. In this case, isolate the variable y:
-16y = 64

6. Solve for y:
y = -4

7. Substitute the value of y from step 6 into the equation x = 2y + 11:
x = 3

8. Solve the system of equations. The solution is (x, y) = (3, -4).

Answer 2

There should be 10 steps not 8

Answer 3

Apologies for the confusion. Here are the correct steps in order:

1. Start with the given system of equations:
-72 - 24 = -13
x - 2y = 11

2. Solve one equation for one variable. In this case, solve the second equation for x:
x = 2y + 11

3. Substitute the value of x from step 2 into the first equation:
-72 - 24 = -13

4. Simplify the equation:
-96 = -13

5. Solve for y. In this case, isolate the variable y:
-16y = 64

6. Solve for y:
y = -4

7. Substitute the value of y from step 6 into the equation x = 2y + 11:
x = 3

8. Check the solution by substituting the values of x and y into both original equations:
-72 - 24 = -13
3 - 2(-4) = 11

9. Simplify and verify both equations:
-96 = -13
3 + 8 = 11

10. The solution to the system of equations is (x, y) = (3, -4).

Answer 4

Use the steps I gave you and put them in the right order

Answer 5

Apologies for the confusion. Here are the steps in the correct order:

1. Start with the given system of equations:
-72 - 24 = -13
x - 2y = 11

2. Solve one equation for one variable. In this case, solve the second equation for x:
x = 2y + 11

3. Substitute the value of x from step 2 into the first equation:
-72 - 24 = -13

4. Simplify the equation:
-96 = -13

5. Solve for y. In this case, isolate the variable y:
-16y = 64

6. Solve for y:
y = -4

7. Substitute the value of y from step 6 into the equation x = 2y + 11:
x = 3

8. Substitute the values of x and y into both original equations to check the solution.
x - 2y = 3 - 2(-4) = 3 + 8 = 11
-72 - 24 = -13

9. Simplify and verify both equations using the values of x and y:
x - 2y = 11
-72 - 24 = -13

10. The solution to the system of equations is (x, y) = (3, -4).