Respuesta :
Answer:
k - 2e + 9 = 0
k - e - 4 = 0
Step-by-step explanation:
Given that Elena is currently e years old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.
So, k - 9 = 2(e - 9)
⇒ k - 2e + 9 = 0 .............. (1)
And, in four years, Elena will be as old as Katie is now.
So, k = e + 4
⇒ k - e - 4 = 0 ............... (2)
Therefore, the equations (1) and (2) matches the conditions. (Answer)
The system of equations has two equations [tex](k-9)=2(e-9)[/tex] and [tex]e+4=k[/tex].
Important information:
- Nine years ago, her cousin Katie was twice as old as Elena was then.
- In four years, Elena will be as old as Katie is now.
- The present age of Elena is e.
- The present age of Katie is k.
System of equations:
Nine years ago, the age of Elena and Katie are (e-9) and (k-9) respectively.
Katie was twice as old as Elena was then. So,
[tex](k-9)=2(e-9)[/tex] ...(i)
Age of Elena after 4 years are (e+4). In four years, Elena will be as old as Katie is now. So,
[tex]e+4=k[/tex] ...(ii)
Therefore, the system of equations has two equations [tex](k-9)=2(e-9)[/tex] and [tex]e+4=k[/tex].
Find out more about 'System of equations' here:
https://brainly.com/question/12097034
