Question

X^✓y +y^✓x =49/48
and

✓x+✓y=7/2
find the value x and y​

Answer 1

√x+√y=7/2

(cross multiply)

[2(√x+√y)]/7 ----i

x^√y+y^√x=49/48

(cross multiply)

[48(x^√y+y^√x)]/49 -----ii

from i and ii

i=ii

(48x^√y+48y^√x)/49=(2√x+2√y)/7

cancelling denominator

(48x^√y+48y^√x)/7=2√x+2√y

cross multiply

48x^√y+48y^√x=14√x+14√y