Put the steps in order that are used to solve the following systems of equations by substitution. don't give me steps in words just put the numbers in order give me 10 steps
x - 2y = 11 --> x = 2y + 11
-16y = 64
-16y - 77 = -13
x - 2(-4) = 11
x + 8 = 11
y = -4
x = 3
-14y - 77 -2y = -13
-7 (2y + 11) -2y = -13
(3, -4)
1. Rewrite one equation in terms of one variable.
2. Substitute the expression for the variable from step 1 into the other equation.
3. Solve the resulting equation for the remaining variable.
4. Substitute the value found in step 3 into one of the original equations and solve for the other variable.
5. Check the solution by substituting the values found in step 4 into the other original equation.
6. Write the final solution as an ordered pair.
7. Convert one equation to the form "variable = expression."
8. Substitute the expression for the variable from step 7 into the other equation.
9. Simplify the resulting equation.
10. Solve the resulting equation for the remaining variable.
1. Rearrange the first equation to solve for x: x = 2y + 11.
2. Set the second equation equal to zero: -16y = 64.
3. Solve the second equation for y: y = -4.
4. Substitute the value of y into the rearranged first equation: x = 2(-4) + 11.
5. Simplify the equation: x = 3.
6. Set the third equation equal to zero: -16y - 77 = -13.
7. Solve the third equation for y: -16y = 64.
8. Simplify the equation: y = -4.
9. Substitute the value of y into the fourth equation: -14(-4) - 77 - 2(-4) = -13.
10. Simplify both sides of the equation: (3, -4).
1. Start with the equation x - 2y = 11.
2. Solve for x: x = 2y + 11.
3. Proceed to the next equation: -16y = 64.
4. Divide both sides of the equation by -16 to isolate y: y = -4.
5. Plug the value of y (-4) back into the first equation: x - 2(-4) = 11.
6. Simplify the equation: x + 8 = 11.
7. Subtract 8 from both sides: x = 3.
8. Next, go back to the equation -16y = 64.
9. Add 77 to both sides: -16y - 77 = -13.
10. Finally, substitute the values of x and y into the system of equations to confirm the solution: (3, -4).