Question

Put the steps in order that are used to solve the following systems of equations by substitution.
-7x-2y=-13
x-2y=11

| x-2y=11-->x=2y+11, -16y=64, x+8=11, -14y-77-2y=-13, -7(2y+11)-2y=-13, x-2(-4) =11, x=3, y=-4, -16y-77=-13, (3, -4).
Use all the numbers

Answer 1

1. Start with the given system of equations:

-7x - 2y = -13
x - 2y = 11

2. Choose one of the equations to solve for one variable in terms of the other. In this case, choose the second equation and solve for x:

x = 2y + 11

3. Substitute this expression for x into the other equation:

-7(2y + 11) - 2y = -13

4. Simplify the equation:

-14y - 77 - 2y = -13

5. Combine like terms:

-16y - 77 = -13

6. Add 77 to both sides of the equation:

-16y = 64

7. Divide both sides by -16:

y = -4

8. Now that we have found the value of y, substitute it back into the expression for x:

x = 2(-4) + 11
x = 3

9. The solution to the system of equations is the ordered pair (x, y) = (3, -4).