Put the 10 steps in order that are used to solve the following systems of equations by substitution. and put what the answer whould be for each step

Question

−7x−2y=−13 x−2y=11

Answer 1

1. Solve one of the equations for one variable in terms of the other variable.

-7x - 2y = -13
Solving for x:
x = (2y - 13) / -7

2. Substitute the expression for the variable in the other equation.

x - 2y = 11
Substituting (2y - 13) / -7 for x:
(2y - 13) / -7 - 2y = 11

3. Simplify the equation by expanding and combining like terms.

(2y - 13) / -7 - 2y = 11
(2y - 13 - 14y) / -7 = 11
(-12y - 13) / -7 = 11

4. Solve the equation for the remaining variable.

(-12y - 13) / -7 = 11
-12y - 13 = 11 * -7
-12y - 13 = -77
-12y = -77 + 13
-12y = -64
y = -64 / -12
y = 16/3 or approximately 5.33

5. Substitute the value of y into one of the original equations.

x - 2(16/3) = 11
x - 32/3 = 11
x = 11 + 32/3
x = 33/3 + 32/3
x = 65/3 or approximately 21.67

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

Solution: (65/3, 16/3) or approximately (21.67, 5.33)