Question

Рівняння: 6х-(х+15)=5(х-3)

Answer 1

$\begin{matrix}6x-(x+15)=5(x-3)&&6x-x-15=5x-15|-5x;+15\end{matrix}\\\begin{matrix}5x-5x=15-15&&&&0=0\end{matrix}\\Otvet:x\in \mathbb{R}.$

Мы упростили уравнение, х сократилось и получилось, что 0=0, это верно всегда, а т.к. х сократилось, то это верно для всех х, то есть ответ для всех действительных чисел (все числа).

Answer 2

To solve the equation, we need to simplify and isolate the variable x. Let's go step by step:

1. Distribute the 5 on the right side: 6x - (x + 15) = 5x - 15

2. Remove the parentheses: 6x - x - 15 = 5x - 15

3. Combine like terms on the left side: 5x - 15 = 5x - 15

At this point, the equation simplifies, and we can see that both sides are identical. This means the equation has infinitely many solutions. Any value of x will satisfy the equation, as both sides will always be equal. This type of equation is called an identity.

So, the solution to the equation 6x - (x + 15) = 5(x - 3) is all real numbers x.