Problem 1 - 2016

$0=\frac { y }{ 0 }$
If you could multiply by 0, you would get y = 0.
$1=\frac { y }{ 0 }$
If you could multiply by 0, you would still get y = 0.
An expression cannot have more than one value, so a number divided by 0 is undefined. Therefore, x is undefined. Undefined is not a real number, so the answer is "It does not exist in $\mathbb{R}$ "

Any number divided by zero is undefined.

There is no solution because putting any value of $x$ will not satisfy the equation. Any number divided by 0 is undefined.

$\dfrac{x}{0}$ is undefined. So, $\color{#69047E}{\boxed{\text{there's no solution}}}$ .

If x\7=0, then x = 7 times 0, and x= 0, this is impossible, because 0/0 is undetermined, and 0 divided by 0 does not 7.