Question

What should be added to 15p-9q+5 to get 12p+6q-3?

Answer 1

$\tt{ Let \: us \: assume \: the \: number \: to \: be \: added \: as \: x}$

So , according to the question :

$\tt{ 15p - 9q + 5 (+) x \implies 12p + 6q - 3}$

For finding the value of (x) we will transfers one term towards another term so that both the terms are together.

$\tt{ x \implies 12p + 6q - 3 - 15p - 9q + 5}$

We know that ; when multiplication is to be performed the signs change.

$\tt{ x \implies 12p + 6q - 3 - 15p + 9q - 5}$

Bringing the like terms together :

$\tt{ x \implies 12p - 15p + 6p + 9q - 3 - 5}$

$\large{\implies{\boxed{\tt{ x \implies -3p + 15q - 8}}}}$

Verification :

$\tt{ -3p + 15q - 8 (+) 15p - 9q + 5}$

Bringing like terms together :

$\tt{ -3p + 15p + 15q - 9q - 8 + 5}$

$\large{\boxed{\implies{\tt{ 12p + 6q - 3}}}}$