Put the steps in order that are used to solve the following systems of equations by substitution.
-7x-2y= -13
x-2y = 11
-16y = 64
= x-2y = 11 --> x = 2y + 11
-14y - 77 - 2y = - 13
-7(2y + 11) - 2y = - 13
(3, -4)
-16у - 77 = -13
x + 8 = 11
y = -4
x = 3
x - 2 (-4) = 11
Put the steps above in the right order, only use the numbers I listed above. Don’t add any words just list the numbers in the right order to solve it.
To solve the system of equations by substitution, you can follow these steps:
1. Substitute the value of x from the second equation into the first equation:
-7(2y + 11) - 2y = -13
2. Simplify:
-14y - 77 - 2y = -13
3. Combine like terms:
-16y - 77 = -13
4. Add 77 to both sides:
-16y = 64
5. Divide both sides by -16:
y = -4
6. Substitute the value of y into either equation to find x. Let's use the second equation:
x - 2(-4) = 11
7. Simplify:
x + 8 = 11
8. Subtract 8 from both sides:
x = 3
Therefore, the solution to the system of equations is x = 3 and y = -4, or (3, -4).
1) -7x-2y= -13
2) x-2y = 11
3) x = 2y + 11
4) -14y - 77 - 2y = - 13
5) -7(2y + 11) - 2y = - 13
6) -16у - 77 = -13
7) x + 8 = 11
8) y = -4
9) x = 3
10) x - 2 (-4) = 11
11) (3, -4)
Solve it in 10 steps using only the numbers I listed
1) -7x-2y= -13
2) x-2y = 11
3) x = 2y + 11
4) -14y - 77 - 2y = - 13
5) -7(2y + 11) - 2y = - 13
6) -16у - 77 = -13
7) x + 8 = 11
8) y = -4
9) x = 3
10) x - 2 (-4) = 11
1. -7x - 2y = -13
2. x - 2y = 11
3. x = 2y + 11
4. -7(2y + 11) - 2y = -13
5. -14y - 77 - 2y = -13
6. -16y - 77 = -13
7. -16y = 64
8. y = -4
9. x - 2(-4) = 11
10. x = 3
11. (3, -4)