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

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Answer 1 · 2016-09-06T18:04:09

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

#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#.