Question

3(2х-7)=9. -4(х-2)=-6. 3(х-5)=х+3. 3/4-y-12=5-1/4-12 ​

Answer 1

Ответ:

1)3(2х-7)=9

6х-21=9

6х=9+21

6х=30

Х=30:6

Х=5

2)-4(х-2)=-6

-4х+8=-6

-4х=-6-8

-4х=-14

Х=3,5

3)3(х-5)=х+3

3х-15=х+3

3х-х=3+15

2х=18

Х=9

Answer 2

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

1. 3(2x - 7) = 9

First, distribute the 3 on the left side of the equation:

6x - 21 = 9

Now, add 21 to both sides to isolate the variable:

6x - 21 + 21 = 9 + 21 6x = 30

Now, divide both sides by 6 to solve for x:

(6x) / 6 = 30 / 6 x = 5

So, the solution to the first equation is x = 5.

2. -4(x - 2) = -6

First, distribute the -4 on the left side of the equation:

-4x + 8 = -6

Now, subtract 8 from both sides to isolate the variable:

-4x + 8 - 8 = -6 - 8 -4x = -14

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

(-4x) / (-4) = (-14) / (-4) x = 14 / 4 x = 7/2 or 3.5

So, the solution to the second equation is x = 7/2 or 3.5.

3. 3(x - 5) = x + 3

First, distribute the 3 on the left side of the equation:

3x - 15 = x + 3

Now, subtract x from both sides to isolate the variable:

3x - x - 15 = x - x + 3 2x - 15 = 3

Next, add 15 to both sides:

2x - 15 + 15 = 3 + 15 2x = 18

Now, divide both sides by 2 to solve for x:

(2x) / 2 = 18 / 2 x = 9

So, the solution to the third equation is x = 9.

4. 3/4 - y - 12 = 5 - 1/4 - 12

Let's simplify this equation step by step:

3/4 - y - 12 = 5 - 1/4 - 12

First, combine the constants on each side:

(3/4 - 12) - y = (5 - 1/4 - 12)

Now, simplify further:

(-47/4) - y = (-47/4)

Now, add 47/4 to both sides to isolate y:

(-47/4) + (47/4) - y = (-47/4) + (47/4)

y = 0

So, the solution to the fourth equation is y = 0.