Equation system with two unknown variables $xy=6930$ and $y/x=1.41$ I am sorry if this is too easy for you, but it's been very many decades since I had math at school. ;-) Please also consider that English is a foreign language for me.
I need to resolve X and Y for this equation system:
\begin{align}
x\cdot y &= 6930\\
\frac yx &= 1.41
\end{align}
How can this be done and which are the steps to the solution? Please write in easy to understand arithmetic language (no advanced mathematical symbols please).
Many thanks in advance!
 A: If $y/x = 1.41$, then $y = 1.41x$. So plugging this in the first equation yields $1.41x^2 = 6930$ and thus $x = \pm \sqrt{6930/1.41}$. Now it should be easy to find also $y$.
A: The first equation
$$
x \cdot y = 6930 \quad (*)
$$
implies that both $x$ and $y$ can not be zero.
So the second equation
$$
\frac{y}{x} = 1.41 \quad (**)
$$
is equivalent (has the same solutions) to 
$$
y = 1.41 \cdot x
$$
We can insert this into the first equation and get
$$
x \cdot (1.41 \cdot x) = 6930
$$
which simplifies to
$$
x^2 = \frac{6930}{1.41}
$$
or 
$$
x = \pm \sqrt{\frac{6930}{1.41}}
$$
where the $\pm$ is short hand notation for two solutions, one positive, one negative.
Finally we get
$$
y 
= 1.41 \cdot x 
= 1.41 \cdot \pm \sqrt{\frac{6930}{1.41}}
= \pm \sqrt{1.41 \cdot 6930}
$$
So we got four solutions in total, however equation $(*)$ or $(**)$ will only permit pairs of same signs, as we need a positive product or fraction, so we end up with two solutions:
$$
(x, y) = 
\pm \left( \sqrt{\frac{6930}{1.41}}, \sqrt{1.41 \cdot 6930}\right)
$$
Update:
Here you can fiddle with GeoGebra: link
This free software allows you to solve the problem graphically, symbolic and numeric.

A: Start with$$\begin{align*} & xy=6930\tag1\\ & \tfrac yx=1.41\tag2\end{align*}$$
Multiplying the numerator and denominator of $(2)$ by $y$ gives$$\begin{align*} & \dfrac {y^2}{xy}=1.41\tag3\\ & y^2=1.41\cdot xy\tag4\\ & y^2=1.41\cdot 6930\tag5\\ & y=\pm\sqrt{9771.3}\end{align*}$$
Substitute that back into $(1)$ to get the corresponding $x$ values.
A: First divide the first equation by X:
$$Y = 6930/X$$
Then substitute the Y into the 2nd equation.
$$(6930/X)/X=1.41$$
Multiply by X:
$$6930/X = 1.41X$$
... again
$$6930=1.41X^2$$
Divide by 1.41
$$4914.89=X^2$$
Take square root:
$$X= +/-70.10$$
Solve the Y by yourself :).
