Question

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

−7x−2y=−13
x−2y=11
A. -14y - 77 - 2y = -13
B. -16y = 64
C. x = 3
D. x - 2y = 11 --> x = 2y + 11
E. -16y - 77 = -13
F. (3, -4)
G. x + 8 = 11
H. y = -4
I. x - 2 (-4) = 11
J. -7 (2y + 11) -2y = -13

Answer 1

1. Rearrange one equation to solve for one variable in terms of the other variable
-7x - 2y = -13 => x = (2y + 11)
2. Substitute the expression for the variable into the other equation
x - 2y = 11
=> (2y + 11) - 2y = 11
3. Simplify the equation
2y + 11 - 2y = 11
4. Solve for y
11 = 11
5. Determine the value of y
y = -4
6. Substitute the value of y back into the expression for x to find the value of x
x = 2(-4) + 11
7. Simplify the equation
x = 3
8. Determine the solution of the system of equations
(x, y) = (3, -4)
The correct order of steps is:
D. x - 2y = 11 --> x = 2y + 11
G. x + 8 = 11
J. -7 (2y + 11) -2y = -13
I. x - 2(-4) = 11
H. y = -4
F. (3, -4)