Question

1) 9х-7=6х+14 2) за три дні туристи пройшли 38 км, за 2 дня вони пройшли у 2 рази більше ніж за 1 день, а за 3 день на 6 км більше ніж за 1 день скільки км пройшли туристи за 1 день?

Answer 1

Ответ:

1) 9х-7=6х+14

9х-6х=7+14

3х=21

х=7

2) х+2х+х+6=38

4х+6=38

4х=32

х=8

Answer 2

Пусть x км - за 1 день

x + 2x + x+6 = 38

4x = 38-6

x = 32:4

x = 8

Ответ: 8 км за 1 день

Answer 3

Let's solve each problem step by step:

1. Solve the equation 9х - 7 = 6х + 14 for x:

To solve the equation, we need to isolate the variable x on one side of the equation.

9х - 7 = 6х + 14

First, let's get rid of the variable term on the right side (6x) by subtracting 6x from both sides:

(9x - 6x) - 7 = 14

Now, simplify the left side:

3x - 7 = 14

Next, add 7 to both sides to isolate the variable term:

3x = 14 + 7 3x = 21

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

x = 21 / 3 x = 7

So the solution to the equation is x = 7.

2. Find how many kilometers the tourists walked in one day (let's call it "d"):

Let d be the distance they walked in one day.

According to the information given:

• In two days, they walked 2 * d kilometers.
• On the third day, they walked (d + 6) kilometers (6 km more than on the first day).
• The total distance for three days is 38 km.

Now, we can set up the equation based on the given information:

d + 2d + (d + 6) = 38

Combine like terms:

4d + 6 = 38

Next, isolate the variable term by subtracting 6 from both sides:

4d = 38 - 6 4d = 32

Finally, divide both sides by 4 to solve for d:

d = 32 / 4 d = 8

So, the tourists walked 8 kilometers in one day.