Question

Solve for the two numbers given the conditions:

A) The first number is X, and the second number is X + 7.
B) The first number is X, and the second number is 2X - 22.
C) The first number is X, and the second number is X - 7.
D) The first number is X, and the second number is 2X + 22.

Answer 1

To solve for the two numbers given the conditions, we set up equations and solve for X.

Step-by-step explanation:

1. For condition A, if the first number is X and the second number is X + 7, we can set up the equation X + X + 7 = 0 and solve for X. Combining like terms, we get 2X + 7 = 0. Subtracting 7 from both sides, we get 2X = -7. Dividing by 2, we get X = -7/2.
2. For condition B, if the first number is X and the second number is 2X - 22, we can set up the equation X + (2X - 22) = 0 and solve for X. Combining like terms, we get 3X - 22 = 0. Adding 22 to both sides, we get 3X = 22. Dividing by 3, we get X = 22/3.
3. For condition C, if the first number is X and the second number is X - 7, we can set up the equation X + (X - 7) = 0 and solve for X. Combining like terms, we get 2X - 7 = 0. Adding 7 to both sides, we get 2X = 7. Dividing by 2, we get X = 7/2.
4. For condition D, if the first number is X and the second number is 2X + 22, we can set up the equation X + (2X + 22) = 0 and solve for X. Combining like terms, we get 3X + 22 = 0. Subtracting 22 from both sides, we get 3X = -22. Dividing by 3, we get X = -22/3.