Question 985321
x + root Y = 11,
root x + y = 7

Find the value of x & y.
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Assuming you mean square root:
{{{sqrt(x) + y = 7}}}
{{{sqrt(x) = 7 - y}}}
{{{x = y^2 - 14y + 49}}}
Sub for x in the 1st eqn.
{{{y^2 - 14y + 49 + sqrt(y) = 11}}}
{{{y^2 - 14y + 38 = -sqrt(y)}}}
{{{y^4 - 28y^3 + 272y^2 - 1065y + 1444 = 0}}}
By graphical methods:
y = 4 is the only integer --> x = 9
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There are 3 other values that can be found by various methods.
Is 1 sufficient?