Answer:
12 years younger.
Step-by-step explanation:
Let Jan's age be J and Karyn's age be K.
![J= \frac{2}{3} K](https://tex.z-dn.net/?f=J%3D%20%5Cfrac%7B2%7D%7B3%7D%20%20K)
Jan's age 8 years ago is 2/5 of Karyn's age 4 yeaRs from now.
![J-8 = \frac{2}{5} (K+4)](https://tex.z-dn.net/?f=J-8%20%3D%20%5Cfrac%7B2%7D%7B5%7D%20%28K%2B4%29)
=> ![(\frac{2}{3} - \frac{2}{5} ) K = \frac{8}{5} + 8](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B3%7D%20-%20%5Cfrac%7B2%7D%7B5%7D%20%29%20K%20%3D%20%5Cfrac%7B8%7D%7B5%7D%20%2B%208)
=> 4K = 48 X 3
=> K= 36.
=> J= 24.
So Jan is 12 years younger.
Answer:
<h2>Q = -6</h2>
Step-by-step explanation:
If the solution of the system of equations is {(x, y): x - y = 4} - infinitely many solutions, then this system is consistent and dependent.
x - 3y = 4 <em>multiply both sides by 2</em>
2x - 6y = 8
Therefore Q = -6