Answer:5/23
Step-by-step explanation:
19 and 42 are coprime, so we can use the CRT right away. Start with
![x=19+42](https://tex.z-dn.net/?f=x%3D19%2B42)
Taken mod 42, we're left with a remainder of 19. Notice that
![19\cdot3\equiv57\equiv15\pmod{42}](https://tex.z-dn.net/?f=19%5Ccdot3%5Cequiv57%5Cequiv15%5Cpmod%7B42%7D)
so we need to multiply the first term by 3 to get the remainder we want.
![x=19\cdot3+42](https://tex.z-dn.net/?f=x%3D19%5Ccdot3%2B42)
Next, taken mod 19, we're left with a remainder of 4. Notice that
![42\cdot6\equiv252\equiv5\pmod{19}](https://tex.z-dn.net/?f=42%5Ccdot6%5Cequiv252%5Cequiv5%5Cpmod%7B19%7D)
so we need to multiply the second term by 6.
Then by the CRT, we have
![x\equiv19\cdot3+42\cdot6\equiv309\pmod{42\cdot19}\implies x\equiv309\pmod{798}](https://tex.z-dn.net/?f=x%5Cequiv19%5Ccdot3%2B42%5Ccdot6%5Cequiv309%5Cpmod%7B42%5Ccdot19%7D%5Cimplies%20x%5Cequiv309%5Cpmod%7B798%7D)
so that any solution of the form
is a solution to this system.
Skew line if there are in the drop down menu
Hi,
The answer you are looking for is 2. (-4,2)
Have a great day & remember to mark brainliest if I helped :)