How do you solve #2sqrtx- 3 sqrty=5# and #3 sqrtx+5sqrty=17#?

1 Answer
Sep 6, 2016

Answer:

the soln. is #x=16, y=1#.

Explanation:

#2sqrtx-3sqrty=5 ..........(1), &, 3sqrtx+5sqrty=17.................(2)#

#:. (1)xx5+(2)xx3#, gives,

# 10sqrtxcancel(-15sqrty)+9sqrtx+cancel(15sqrty)=51+25#.

# :. 19sqrtx=76 rArr sqrt x=4 rArr x=16#.

Then, by #(1), 2sqrt16-5=3sqrty rArr sqrty=1 rArr y=1#

These roots satisfy the given eqns.

Hence, the soln. is #x=16, y=1#.