Question

Put the steps in order that are used to solve the following systems of equations by substitution. −7x−2y=−13 x−2y=11 (10 points)
y = -4
x = 3
(3,-4)
x -2y = 11 --> x = 2y + 11
x - 2(-4) = 11
x + 8 = 11
-14y - 77 - 2y = -13
-16y = 64
-16y - 77 =-13
-7(2y + 11) - 2y = -13

Answer 1

1. Rewrite one of the equations in terms of one variable (in this case, x = 2y + 11).
2. Substitute the expression for that variable into the other equation.
3. Solve the resulting equation for the remaining variable (in this case, y).
4. Substitute the value of y back into the equation x = 2y + 11 to find the value of x.
5. Check the solution by substituting the values of x and y into both original equations to see if they are true.
6. Write the final solution as an ordered pair (x, y).