Question

A) 7x + 2(2.4+5x)= 1,8 Б)2х+7/3-х-3/2=4х В)2|2х-3|=10

Answer 1

Ответ:

ответ смотри во вложении

Answer 2

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

A) $7x + 2(2.4+5x) = 1.8$

First, distribute the 2 on the left side of the equation:

$7x + 4.8 + 10x = 1.8$

Now, combine like terms on the left side of the equation:

$17x + 4.8 = 1.8$

Subtract 4.8 from both sides:

$17x = 1.8 - 4.8$

$17x = -3$

Now, divide both sides by 17 to solve for x:

$x = -3/17$

B) $2x + \frac{7}{3} - x - \frac{3}{2} = 4x$

First, simplify the left side by combining like terms:

$2x - x + \frac{7}{3} - \frac{3}{2} = 4x$

$x + \frac{7}{3} - \frac{3}{2} = 4x$

Now, subtract x from both sides:

$\frac{7}{3} - \frac{3}{2} = 4x - x$

Next, find a common denominator for the fractions on the left side, which is 6:

$\frac{14}{6} - \frac{9}{6} = 3x$

Now, subtract the fractions:

$\frac{5}{6} = 3x$

Finally, divide both sides by 3 to solve for x:

$x = \frac{5}{6} \div 3$

$x = \frac{5}{18}$

C) $2|2x - 3| = 10$

To solve this equation, we need to consider two cases: one where $2x - 3$ is positive, and one where $2x - 3$ is negative.

Case 1: $2x - 3$ is positive:

In this case, the equation becomes:

$2(2x - 3) = 10$

Now, distribute the 2 on the left side:

$4x - 6 = 10$

Add 6 to both sides:

$4x = 10 + 6$

$4x = 16$

Now, divide both sides by 4 to solve for x:

$x = 16/4$

$x = 4$

Case 2: $2x - 3$ is negative:

In this case, the equation becomes:

$2(-(2x - 3)) = 10$

Now, distribute the 2 on the left side:

$-2(2x - 3) = 10$

$-4x + 6 = 10$

Subtract 6 from both sides:

$-4x = 10 - 6$

$-4x = 4$

Now, divide both sides by -4 to solve for x:

$x = 4/-4$

$x = -1$

So, there are two solutions to the equation: $x = 4$ and $x = -1$.