Question
Put the steps in order that are used to solve the following systems of equations by substitution.
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)
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)
Answers
GPT 3.5
1. x = 2y + 11 (rearrange the first equation)
2. Substitute x = 2y + 11 into the second equation: -16y = 64
3. Solve for y: y = -4
4. Substitute y = -4 into x = 2y + 11: x = 3
5. Check solution by substituting x = 3 and y = -4 into both original equations
6. Final solution: (x, y) = (3, -4)
2. Substitute x = 2y + 11 into the second equation: -16y = 64
3. Solve for y: y = -4
4. Substitute y = -4 into x = 2y + 11: x = 3
5. Check solution by substituting x = 3 and y = -4 into both original equations
6. Final solution: (x, y) = (3, -4)