No.
In the variable x, alone, it is linear. In the variable y, alone, it is linear.
But taken together, in x and y, you have a term which contains xy - that is, a term in which the powers of the unknowns add to 2. So the equation is not linear.
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3x2+6xy+3y2= 3(x2+2xy+y2)= 3(x+y)2
Six times Y = 24.
6xy+9y2
The GCF is 3.
6xy/16y = 3x/8 (as long as y≠0) = 3/8x