Put the steps in order that are used to solve the following systems of equations by substitution.
-7х - 2y = -13
x-2y = 11
(Put the numbers listed below in order)
x+8 = 11
X = 3
-14y - 77 - 2y = -13
(3, -4)
-16y - 77 = -13
-16y = 64
x-2y=11–>x=2y+11
-7(2y + 11) - 2y = -13
y = -4
x - 2 (-4) = 11
-7(3) - 2(-4) = -13
1. -7х - 2y = -13
2. x-2y = 11
3. x=2y+11 (from equation 2)
4. Substitute x from equation 3 into equation 1: -7(2y + 11) - 2y = -13
5. Simplify equation 4: -14y - 77 - 2y = -13
6. Simplify equation 5: -16y - 77 = -13
7. Move the constant term to the other side in equation 6: -16y = 64
8. Divide both sides by -16 in equation 7: y = -4
9. Substitute y = -4 into equation 3: x = 2(-4) + 11
10. Simplify equation 9: x = 3
11. The solution is (x, y) = (3, -4)
1. Rewrite the first equation in terms of x: x = 2y + 11
2. Substitue x from step 1 into the second equation:
-7(2y + 11) - 2y = -13
3. Simplify the equation from step 2:
-14y - 77 - 2y = -13
-16y - 77 = -13
4. Simplify further:
-16y = 64
5. Solve for y:
y = -4
6. Substitute the value of y into the expression for x:
x = 2(-4) + 11
x = 3
7. The solution to the system of equations is (x, y) = (3, -4)