Question

1/3х + 1/4х - х = -100 найдите х

Answer 1

Ответ:

Пошаговое объяснение:

1/3х + 1/4х - х = -100

4/12х+3/12х-х=-100

-5/12х=-100

хх=-100:(-5/12)

хх=-100*(-12/5)

хх=240

Answer 2

$\displaystyle \frac{1}{3}x+\frac{1}{4}x-x=-100\\ \\4x+3x-12x=-1200\\ -5x=-1200\\x=240$

Answer 3

To solve the equation $\frac{1}{3}x + \frac{1}{4}x - x = -100$ for $x$, let's follow these steps:

Step 1: Get rid of the fractions. Multiply the entire equation by the least common multiple (LCM) of the denominators, which is $12$ (the least common multiple of $3$ and $4$).

$$12 \times \left(\frac{1}{3}x\right) + 12 \times \left(\frac{1}{4}x\right) - 12x = 12 \times (-100)$$

This simplifies to:

$$4x + 3x - 12x = -1200$$

Step 2: Simplify and solve for $x$.

$$-5x = -1200$$

Now, divide both sides by $-5$ to solve for $x$:

$$x = \frac{-1200}{-5}$$

$$x = 240$$

So, $x = 240$ is the solution to the equation.