Question

9 (14 - x) =-2x 4(-3 + x) = 5x + 2 -9(1 + 6x) = 6x - 37 -6(7 - x) = -8x – 7 -5y + 19 = 2(2-6y)​

Answer 1

Ответ:

Пошаговое объяснение:

Пошаговое объяснение:

5.36. -6(7 - x) = -8x - 7.

      -42 + 6х = -8х - 7

       6х+8х = -7 +42

       14х =  35

     $x= \frac{35}{14} = \frac{5}{2}$

.5.37.         4(-3 + x) = 5x + 2.

               -12 + 4х = 5х + 2

                -12 - 2 = 5х - 4х

                  х = - 14

5.38    -5y + 19 = 2(2-6y).

           -5y + 19 = 4 - 12y

           -5y + 12y = 4 - 19

           7y = -15

           $y=-\frac{15}{7} =-1\frac{1}{7}$

9 (14 - x) =-2x

9*14 - 9x = -2x

9*14 = -2x+9x

9*14 = 7x

x = 9*14 : 7 = 18

x= 18

4(-3 + x) = 5x + 2

-12+4x = 5x + 2

-12-2 = 5x - 4x

x = -14

-9(1 + 6x) = 6x - 37

-9 -54x = 6x - 37

-9+37 = 6x + 54x

28 = 60x

x = $\frac{28}{60} = \frac{7}{15}$

-6(7 - x) = -8x – 7

-42 + 6x = -8x -7

6x+8x = -7 + 42

14x = 35

x = $\frac{35}{14} = \frac{5}{2}$

x = 2,5

-5y + 19 = 2(2-6y)

​-5y + 19 = 4 - 12y

-5y +12y = 4 - 19

7y = - 15

y = $-\frac{15}{7}= -2 \frac{1}{7}$

Answer 2

Let's solve each equation step by step:

1. $9(14 - x) = -2x$

First, distribute the 9 on the left side of the equation:

$126 - 9x = -2x$

Now, let's isolate $x$ on one side of the equation. First, add $9x$ to both sides:

$126 = 7x$

Now, divide both sides by 7 to solve for $x$:

$x = \frac{126}{7} = 18$

So, the solution to the first equation is $x = 18$.

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

Again, distribute the 4 on the left side:

$-12 + 4x = 5x + 2$

Now, move the $5x$ term to the left side by subtracting $5x$ from both sides:

$-12 - 4x = 2$

Next, add 12 to both sides to isolate the $4x$:

$-4x = 14$

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

$x = \frac{14}{-4} = -\frac{7}{2} = -3.5$

So, the solution to the second equation is $x = -3.5$.

3. $-9(1 + 6x) = 6x - 37$

First, distribute the -9 on the left side:

$-9 - 54x = 6x - 37$

Next, add $9$ to both sides to isolate the $54x$:

$-54x = 6x - 28$

Now, add $54x$ to both sides:

$0 = 60x - 28$

Add $28$ to both sides:

$28 = 60x$

Finally, divide both sides by $60$ to solve for $x$:

$x = \frac{28}{60} = \frac{7}{15}$

So, the solution to the third equation is $x = \frac{7}{15}$.

4. $-6(7 - x) = -8x - 7$

First, distribute the -6 on the left side:

$-42 + 6x = -8x - 7$

Next, add $8x$ to both sides to isolate the $6x$:

$-42 + 14x = -7$

Now, add $42$ to both sides:

$14x = 35$

Finally, divide both sides by $14$ to solve for $x$:

$x = \frac{35}{14} = 2.5$

So, the solution to the fourth equation is $x = 2.5$.

5. $-5y + 19 = 2(2 - 6y)$

First, distribute the $2$ on the right side:

$-5y + 19 = 4 - 12y$

Now, add $12y$ to both sides to isolate the $-5y$:

$19 + 7y = 4$

Next, subtract $19$ from both sides:

$7y = -15$

Finally, divide both sides by $7$ to solve for $y$:

$y = \frac{-15}{7}$

So, the solution to the fifth equation is $y = \frac{-15}{7}$.