Question

Question

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)
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Answer 1

1. Solve one of the equations for one variable in terms of the other variable.
2. Substitute the expression from step 1 into the other equation.
3. Solve the resulting equation for the remaining variable.
4. Substitute the value found in step 3 back into one of the original equations to solve for the other variable.
5. Write the solution as an ordered pair (x, y).

Answer 2

its not the answer

Answer 3

Apologies for the incorrect response. Here is the correct order of steps to solve the system of equations by substitution:

1. Solve one of the equations for one variable in terms of the other variable. Let's solve the second equation for x:

x = 2y + 11

2. Substitute the expression found in step 1 into the other equation. Substitute 2y + 11 for x in the first equation:

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

3. Simplify and solve the resulting equation for the remaining variable. Solve for y:

-14y - 77 - 2y = -13

-16y - 77 = -13

-16y = 64

y = -4

4. Substitute the value found in step 3 back into either of the original equations to find the value of the other variable. Let's substitute y = -4 into the second equation:

x - 2(-4) = 11

x + 8 = 11

x = 3

5. Write the solution as an ordered pair (x, y), where x is the value found in step 4 and y is the value found in step 3. The solution to the system of equations is (3, -4).