Respuesta :
Answer:
29 and 43
Step-by-step explanation:
1. Create two equations that represent the given information.
- y - x = 14
- y + x = 72
2. Use one of the equations to solve for one of the variables.
- y - x = 14 can be rearranged algebraically to become y = 14 + x
3. Plug in the known variable (y = 14 + x) into the other equation.
- We can replace the y in y + x = 72 with 14 + x, since y = 14 + x
- Therefore, y + x = 72 turns into (14 + x) + x = 72
4. Solve for x algebraically.
- (14 + x) + x = 72 ; get rid of the parenthesis
- 14 + x + x = 72 ; add the x's together
- 14 + 2x = 72 ; subtract 14 from both sides
- 2x = 58 ; divide both sides by 2
- x = 29
5. Now that we've solved for the exact value of x, we can plug that into our earlier equation where we solved for y.
- y = 14 + x
- y = 14 + 29 = 43
6. Our final answer is 29 and 43.
