Question

the sum of two numbers is zero. when 15 times the smaller numbers is added to 10 times the larger, the result is 1. find the two numbers.

Answer 1

We have two numbers say a, b. And a system of equations.

`a+b=0\wedge(a+b)/(15)+10(a+b)=1`

It looks a bit intimidating but it's actually very easy.

Instead of term a + b in the second equation we can say it's zero because the first equation describes a + b as being equal to 0.

So,

`(0)/(15)+10\cdot0=1\Longrightarrow 0+0=1`

The above equation is not true therefore numbers a and b do not exists in the real number domain.

`a,b\\otin\mathbb{R}`

No solution.

Hope this helps.