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

Question

{−7x −2y = −13x − 2y = 11


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.

Answer 1

1. Choose one of the equations and solve for one variable in terms of the other.

2. Substitute the expression found for that variable into the other equation.

3. Solve the resulting equation for the remaining variable.

4. Substitute the value found back into one of the original equations to find the value of the other variable.

5. Write the solution as an ordered pair (x, y).

Answer 2

Jane has $50 and Ellis has $24. Jane is saving $4 per day and Ellis is saving $6 per day.

What equation represents how much money Jane will have in total after saving for d days?

What equation represents how much money Ellis will have in total after saving for d days?

What equation would be used to find out how many it will take for Jane and Ellis to have the same amount of money saved?

After the amount of time found above, how much will Jane and Ellis each have saved?

Answer 3

Equation for how much money Jane will have:
Mj = 50 + 4d

Equation for how much money Ellis will have:
Me = 24 + 6d

Equation to find out how many days it will take for them to have the same amount saved:
50 + 4d = 24 + 6d

Simplifying:
2d = 26

d = 13

After 13 days, Jane will have $98 saved (50 + 4(13)) and Ellis will have $102 saved (24 + 6(13)).