Question

rootx+y=11. and X+rooty=7 solve equations please​

Answer 1

Answer:

root100+1=11

Step-by-step explanation:

root of 100 is 10 so x= 100 and y = 1

Answer 2

Answer:

Short Method

Step-by-step explanation:

√x+y=11 -- (i)

x+√y=7 -- (ii)

equn (I) - (ii)

√x+y=11

x+√y=7

-__-__-__

y-x-√y+√x=4

(√y)^2-(√x)^2-√y+√x=4

(√y+√x) (√y-√x) -1 (√y-√x)=4

(√y-√x) (√y+√x-1)= 1×4

If √y-√x=1 -- (iii)

If √y+√x-1=4

√y+√x=4+1

√y+√x=5 -- (iv)

Adding equn (iii) and (iv)

√y-√x=1

√y+√x=5

__________

2√y=6

√y=6/2

√y=3

y=3^2

y=9

Putting y=9 in equn (ii)

x+√y=7

x+√9=7

x+3=7

x=7-3

x=4

hence

x=4

y=9 Ans.

By-Raj Kumar (Math Teacher)

Jamalpur Munger Bihar (India)

Mobile: +91 9135574303