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. -16y = 64
2. Solve for y: y = -4
3. Substitute y = -4 into the first equation: x - 2(-4) = 11
4. Simplify: x + 8 = 11
5. Solve for x: x = 3
6. Substitute x = 3 into the second equation: -14y - 77 -2y = -13
7. Simplify: -16y - 77 = -13
8. Add 77 to both sides: -16y - 77 + 77 = -13 + 77
9. Simplify: -16y = 64
10. Substitute y = -4 and x = 3 into the original equations: (3, -4)
1. Rewrite one of the equations in terms of one variable (x or y).
2. Substitute the expression obtained in Step 1 into the other equation.
3. Solve the resulting equation to find the value of the variable.
4. Substitute the value found in Step 3 back into one of the original equations.
5. Solve the equation obtained in Step 4 to find the value of the other variable.
6. Verify the solution by substituting the values of x and y into both original equations.
7. Rewrite the other equation in terms of the variable that was not used in Steps 1 and 2.
8. Substitute the expression obtained in Step 7 into one of the original equations.
9. Solve the resulting equation to find the value of the variable.
10. Substitute the value found in Step 9 back into one of the original equations to check the solution.
Sure! Here are the steps in order to solve the system of equations by substitution:
1. Rearrange the first equation to express x in terms of y: x = 2y + 11.
2. Simplify the second equation: -16y = 64.
3. Solve for y by dividing both sides of the equation by -16: y = -4.
4. Substitute the value of y (which is -4) into the expression for x: x = 2(-4) + 11.
5. Simplify the expression for x: x = 3.
6. Check the values of x and y by substituting them into the original equations.
7. Verify that the first equation holds true: (3) - 2(-4) = 11.
8. Simplify the left side of the equation: 3 + 8 = 11.
9. Verify that the second equation holds true: -16(-4) = 64.
10. Simplify the left side of the equation: 64 = 64.
Therefore, the solution to the system of equations is x = 3 and y = -4, or (3, -4) in coordinate form.