Question

1/2x + 1 = 1/3 ( x + 3/4 ) 1. - 1.5 2. -7.5 3. 3/2 4. -0.9 (–20х – 50) ∙ 2 = 100 1. -5 2. 0 3. -12.5 4. -10 х+5(2-4х)=29 1. 29/30 2. -2.9 3. - 24 4. -1

Answer 1

Ответ:

не знаю

Пошаговое объяснение:

Answer 2

Let's solve each of these equations step by step:

1. $\frac{1}{2}x + 1 = \frac{1}{3} \left( x + \frac{3}{4} \right)$

First, let's eliminate the fractions by multiplying both sides of the equation by the least common multiple (LCM) of 2 and 3, which is 6:

$6 \left( \frac{1}{2}x + 1 \right) = 6 \left( \frac{1}{3} \left( x + \frac{3}{4} \right) \right)$

This simplifies to:

$3x + 6 = 2 \left( x + \frac{3}{4} \right)$

Now, distribute the 2 on the right side:

$3x + 6 = 2x + \frac{3}{2}$

Subtract 2x from both sides:

$x + 6 = \frac{3}{2}$

Subtract 6 from both sides:

$x = \frac{3}{2} - 6$

$x = \frac{3}{2} - \frac{12}{2}$

$x = \frac{-9}{2}$

So, the solution to the first equation is $x = -\frac{9}{2}$, which is equivalent to -4.5.

2. $-20x - 50 \cdot 2 = 100$

First, simplify the left side of the equation:

$-20x - 100 = 100$

Add 100 to both sides:

$-20x = 100 + 100$

$-20x = 200$

Now, divide both sides by -20 to isolate x:

$x = \frac{200}{-20}$

$x = -10$

So, the solution to the second equation is $x = -10$.

3. $x + 5(2 - 4x) = 29$

First, distribute the 5 on the left side:

$x + 10 - 20x = 29$

Combine like terms on the left side:

$x - 20x + 10 = 29$

Simplify further:

$-19x + 10 = 29$

Subtract 10 from both sides:

$-19x = 29 - 10$

$-19x = 19$

Now, divide both sides by -19 to isolate x:

$x = \frac{19}{-19}$

$x = -1$

So, the solution to the third equation is $x = -1$.

To summarize:

1. $x = -\frac{9}{2}$ or -4.5
2. $x = -10$
3. $x = -1$

These are the solutions to the given equations.