system of equations $\sqrt{x}+y = 11$ and $x+\sqrt{y} = 7$.
30331
Steps to solve this system of equations: $\sqrt{x}+y=7$, $\sqrt{y}+x=11$
105347
How many nonnegative integer solutions are there to the pair of equations $x_1+x_2+…+x_6=20$ and $x_1+x_2+x_3=7$?
125040
Show by induction : $n^7-n$ is a multiple of 7
118744
Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.
119691
$5^{x}+2^{y}=2^{x}+5^{y} =\frac{7}{10}$ Work out the values of $\frac{1}{x+y}$
75489
Solve $x^2$ $mod$ $23 = 7^2$
20705
On equations $m^2+1=5^n$
70662
How many non-negative integer solutions does the equation $3x + y + z = 24$ have?
108885
Systems of equations with a single number
12741
How to prove that: $\tan(3\pi/11) + 4\sin(2\pi/11) = \sqrt{11}$
22192
System of linear equations having a real solution has also a rational solution.
22512
Find the value of: $\frac{\sqrt{45} + \sqrt{18}} {\sqrt{7+2\sqrt{10}}}$
48961
system of matrix equations
6911
Solving 4 Quadratic Simultaneous Equations
73277
Prove $[\sqrt{x}+\sqrt{x+1}]=[\sqrt{4x+2}], x \in \Bbb N$
50982
Is $\sqrt{x/a}+\sqrt{y/b}=1$ the equation of a parabola tangent to the coordinate axes?
112171
Proposition: $\sqrt{x + \sqrt{x + \sqrt{x + ...}}} = \frac{1 + \sqrt{1 + 4x}}{2}$.