Question

782 (1,2) 1) x = 2/3x + 12) x - 1/2 = 3/4x783 (1,2)1) 7x - (4 + 2x) = x + 92) 13 - (2x - 5) = x - 3​

Answer 1

Ответ:

Пошаговое объяснение:

782

1)х=2/3х+1

3х=2х+3

3х-2х=3

х=3

2)х-1/2=3/4х

4х-2=3х

4х=3х+2

4х-3х=2

х=2

783

1) 7х-(4+2х)=х+9

7х-4-2х=х+9

5х-4=х+9

5х-х=9+4

4х=13

х=13/4 или 3 целых 1/4 или 3,25

2)13-(2х-5)=х-3

13-2х+5=х-3

18-2х=х-3

-2х-х=-3-18

-3х=-21

х=7

Answer 2

Let's solve the equations one by one:

1. $\frac{2}{3}x + 1 = 2x + 2$

First, we need to get rid of fractions. Multiply both sides of the equation by 3 to clear the fraction:

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

This simplifies to:

$2x + 3 = 6x + 6$

Now, let's isolate the variable $x$ by moving all terms containing $x$ to one side of the equation and constants to the other side:

$2x - 6x = 6 - 3$

$-4x = 3$

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

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

Simplifying the fraction:

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

So, the solution to the first equation is $x = -\frac{3}{4}$.

2. $x - \frac{1}{2} = \frac{3}{4}x - 3$

First, let's clear the fractions by multiplying both sides of the equation by 4 (the least common denominator):

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

This simplifies to:

$4x - 2 = 3x - 12$

Now, let's isolate the variable $x$ by moving all terms containing $x$ to one side of the equation and constants to the other side:

$4x - 3x = -12 + 2$

$x = -10$

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

3. $7x - (4 + 2x) = x + 9$

First, distribute the negative sign through the parentheses:

$7x - 4 - 2x = x + 9$

Now, let's isolate the variable $x$ by moving all terms containing $x$ to one side of the equation and constants to the other side:

$7x - 2x - x = 9 + 4$

$4x = 13$

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

$x = \frac{13}{4}$

So, the solution to the third equation is $x = \frac{13}{4}$.

4. $13 - (2x - 5) = x - 3$

First, distribute the negative sign through the parentheses:

$13 - 2x + 5 = x - 3$

Now, let's isolate the variable $x$ by moving all terms containing $x$ to one side of the equation and constants to the other side:

$-2x - x = -3 - 13 - 5$

$-3x = -21$

Now, divide both sides by -3 to solve for $x$:

$x = \frac{-21}{-3}$

Simplifying the fraction:

$x = 7$

So, the solution to the fourth equation is $x = 7$.