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

-7x-2y= -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

Put the steps above in the right order, only use the numbers I listed above. ONLY USE THE NUMBERS ON THE QUESTION NOTHING ELSE

1 answer

1) Write the two equations in standard form:
-7x - 2y = -13
x - 2y = 11

2) Solve one of the equations for one variable in terms of the other variable:
x = 2y + 11

3) Substitute the expression from step 2 into the other equation:
-7(2y + 11) - 2y = -13

4) Simplify the equation from step 3:
-14y - 77 - 2y = -13

5) Combine like terms:
-16y - 77 = -13

6) Solve for y:
-16y = 64

7) Solve for y:
y = -4

8) Use the value of y from step 7 to solve for x:
x = 2y + 11 = 2(-4) + 11 = 3

9) Determine the solution to the system of equations:
(x, y) = (3, -4)