Question

Put the steps in order that are used to solve the following systems of equations by substitution.
-72-24= -13
x-2y = 11

Answer 1

Solve this equation
-72-24= -13
x-2y = 11

Answer 2

1. Start by solving one of the equations for one of the variables.
2. Substitute the expression found in step 1 into the other equation for the corresponding variable.
3. Solve the equation obtained in step 2 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. Check the solution by substituting the values found in step 4 into both original equations and ensuring they satisfy both equations.

Answer 3

To solve the equation -72 - 24 = -13, we add 72 and 24 to both sides of the equation to isolate the variable.

-72 - 24 + 72 + 24 = -13 + 72 + 24

-96 = 83

However, -96 does not equal 83, so this equation has no solution.

For the equation x - 2y = 11, we can solve it by substitution using the first equation. Let's start by solving the first equation for x:

x = 2y + 11

Next, substitute this expression for x in the second equation:

(2y + 11) - 2y = 11

Simplifying the equation:

2y - 2y + 11 = 11

11 = 11

This equation is true, which means that any value of y will work. Let's assign a value to y and solve for x. Let's say y = 0:

x = 2(0) + 11
x = 11

So, one possible solution to the equation x - 2y = 11 is x = 11 and y = 0.