Is there any simple analytic method for solving $\sqrt{x}+y=7$ and $x+\sqrt{y}=11$ simultaneously.
30331
Steps to solve this system of equations: $\sqrt{x}+y=7$, $\sqrt{y}+x=11$
24822
How to solve the equation $(z+1)^7 = z^7$ for all $z$?
12102
particular solution to $y^{(4)} -2y'' +y = xe^x $ using undetermined coefficients
82016
Given $p^2+q^2+r^2+1=s+\sqrt{p+q+r-s}$, solve for $s$
133863
All pairs (x,y) that satisfy the equation $xy+(x^3+y^3)/3=2007$
130565
Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
35643
How to use the method of "Hensel lifting" to solve $x^2 + x -1 \equiv 0\pmod {11^4}$?
105263
Find the value of $x,y$ for the equation $12x+5y=7$ using number theory .
149355
find $\left( \frac{x}{x+y} \right)^{2007} + \left( \frac{y}{x+y} \right)^{2007}$
99146
Find $\sqrt a + \sqrt b + \sqrt c$ only in terms of $p$ .
3621
How can I show that $y'=\sqrt{|y|}$ has infinitely many solutions?
85425
Is there any simple method to calculate $\sqrt x$ without using logarithm
123724
Solve $(y')^2 - xy' + y = 0$
114996
$x+y+z=n$. Finding the number of solutions.
69682
Roots of $y=x^3+x^2-6x-7$
41641
$(n-7)(n+7)=$ some perfect square
31852
An elegant way to solve $\frac {\sqrt3 - 1}{\sin x} + \frac {\sqrt3 + 1}{\cos x} = 4\sqrt2 $