x/p+y/q=2, x+y=p+q find the value of x and y
find a common denominator of (p + q)
(qx + py)/(p + q) = 2/(p + q) because the new equation has the same demoninator you can solve for the numerator.
(qx + py) = 2
logically qx and py are equal to 1, because there total is 2.
how can qx = 1? q = 1/2 and x = 2 or q = 2 and x = 1/2
there are two solutions:
x = y = 2 and p = q = 1/2
or x = y = 1/2 and p = q = 2