If x2=18x+y and y2=18y+x, then find the value of root

Step-by-step explanation:

We are given:

Subtracting [1] and [2]:

Operating:

Recall:

Substituting:

Rearranging:

Dividing by x-y (recall x≠y):

Now we add [1] and [2]:

Rearranging:

Substituting from [3]

Adding 1:

Taking the square root:

Thus:

the answer is here: : )

:

x = 12

y = 15

step-by-step explanation: