Question

Show that the equation 8a-10b=1/3 and 20a-25b=5/6 have many solutions.

Answer 1

infinite solutions

Explanation:

8a-10b=1/3 and 20a-25b=5/6

To remove fraction , multiply the first equation by 3 and second equation by 6

`24a-30b=1`

`120a-150b=5`

multiply the first equation by -5 to eliminate b

`-120a+150b=-5`

`120a-150b=5`

Add both equations

0=0

both sides are equal. so infinite solution for this system of equations