Question

1) 6x-5(3x-0,5)=3(7-3x); 2) 3(x-1,5) +2x=5(2,5+2x)

Answer 1

В первом задании скорее всего ошибка. Но я решил так, как написано

Answer 2

1) 6х-5(3х-0,5)=3(7-3х)
6х-15х+2,5=21-9х
6х-15х+9х=21-2,5
0х=18,5
Ответ: нет корней

2) 3(х-1,5)+2х=5(2,5+2х)
3х-4,5+2х=12,5+10х
3х+2х-10х=12,5+4,5
-5х=17
х=-(17:5)
х=-3,4
Ответ: х=-3,4

Answer 3

Let's solve these equations step by step.

1. $6x - 5(3x - 0.5) = 3(7 - 3x)$:

First, distribute the constants on both sides of the equation:

$6x - 15x + 2.5 = 21 - 9x$.

Now, combine like terms on both sides of the equation:

$-9x - 15x + 2.5 = 21$.

Combine the x terms:

$-24x + 2.5 = 21$.

Next, isolate the x term by moving the constant to the other side:

$-24x = 21 - 2.5$.

$-24x = 18.5$.

Now, divide by -24 to solve for x:

$x = \frac{18.5}{-24}$.

Simplify the fraction:

$x = -\frac{37}{48}$.

So, the solution for the first equation is $x = -\frac{37}{48}$.

2. $3(x - 1.5) + 2x = 5(2.5 + 2x)$:

First, distribute the constants on both sides of the equation:

$3x - 4.5 + 2x = 12.5 + 10x$.

Now, combine like terms on both sides of the equation:

$5x - 4.5 = 12.5 + 10x$.

Next, move the $5x$ term to the other side of the equation by subtracting $5x$ from both sides:

$-4.5 = 12.5 + 5x - 10x$.

Simplify the x terms:

$-4.5 = 12.5 - 5x$.

Now, move the constant term to the other side of the equation by subtracting $12.5$ from both sides:

$-4.5 - 12.5 = -5x$.

Combine the constant terms:

$-17 = -5x$.

Finally, divide by -5 to solve for x:

$x = \frac{-17}{-5}$.

Simplify the fraction:

$x = \frac{17}{5}$.

So, the solution for the second equation is $x = \frac{17}{5}$.