Answer:
x + 5 = (x + 5) - 5, which has no solution ⇒ answer C
Step-by-step explanation:
* Lets study the situation in the problem
- Jessica is 5 years older than her sister Jenna
- After five years Jenna's age will be as old as Jessica was five years ago
- Jenna's age now is x
* Lets change all information above to equation
∵ Janna's age now is x
∵ Jessica is 5 years old than Janna
∴ The age of Jessica now is x + 5
- After 5 years Janna's age will be add by 5 years
∵ Her age now is x
∴ Her age after 5 years will be x + 5
- From 5 years ago Jessica's age was her age now mins 5 years
∵ Her age now is x + 5
∴ Her age from 5 years ago is (x + 5) - 5
∵ Janna's age after 5 years = Jessica age from 5 years ago
∴ x + 5 = (x + 5) - 5
- Lets solve the equation to know how many solution
∵ x + 5 = x + 5 - 5 ⇒ add the like terms
∴ x + 5 = x ⇒ subtract x from both sides
∴ 5 = 0
- But 5 ≠ 0, the two sides of the equation not equal each other
∴ There is no solution for this equation
* The equation is x + 5 = (x + 5) - 5, which has no solution
3: