Put the steps in order that are used to solve the following systems of equations by substitution. −7x−2y=−13 x−2y=11 (10 points)
y = -4
x = 3
(3,-4)
x -2y = 11 --> x = 2y + 11
x - 2(-4) = 11
x + 8 = 11
-14y - 77 - 2y = -13
-16y = 64
-16y - 77 =-13
-7(2y + 11) - 2y = -13
just put the answers not words
1) x = 2y + 11
2) Substitute the value of x from step 1 into the first equation: -7(2y + 11) - 2y = -13
3) Simplify and solve for y: -14y - 77 - 2y = -13
4) Simplify further: -16y - 77 = -13
5) Solve for y: -16y = 64
6) Simplify: y = -4
7) Substitute the value of y into the second equation: x - 2(-4) = 11
8) Simplify and solve for x: x + 8 = 11
9) Solve for x: x = 3
10) The solution to the system of equations is (3, -4)
1. x = 2y + 11
2. Substitute x = 2y + 11 into the other equation: -7(2y + 11) - 2y = -13
3. Simplify: -14y - 77 - 2y = -13
4. Combine like terms: -16y - 77 = -13
5. Simplify: -16y = 64
6. Divide both sides by -16: y = -4
7. Substitute y = -4 into x = 2y + 11: x = 2(-4) + 11
8. Simplify: x = -8 + 11
9. Combine like terms: x = 3
10. The solution is (x, y) = (3, -4)
1. x = 2y + 11
2. Substitute x from equation (1) into the first equation: -7(2y + 11) - 2y = -13
3. Simplify equation (2): -14y - 77 - 2y = -13
4. Combine like terms in equation (3): -16y - 77 = -13
5. Simplify equation (4): -16y = 64
6. Solve for y in equation (5): y = -4
7. Substitute y = -4 back into equation (1) to find x: x = 2(-4) + 11
8. Simplify equation (7): x = 3
Therefore, the solution to the system of equations is (x, y) = (3, -4).