(1/3+1/2)*x=3,75 (3/5-0,25)*x=4,9 (7/8-0,2)*x=8,1 (4-2цел3/7)*x= 2цел5/14

Предыдущий
вопрос Следующий
вопрос

To solve each of these equations for x, we need to isolate x and solve for its value.

1) (1/3 + 1/2)x = 3.75
First, we need to find a common denominator for 1/3 and 1/2, which is 6. So, (2/6 + 3/6)x = 3.75
Simplify to get (5/6)x = 3.75
Now, divide by 5/6 to isolate x: x = 3.75 / (5/6) = 3.75 (6/5) = 4.5

So, x = 4.5

2) (3/5 - 0.25)x = 4.9
Convert 0.25 to a fraction: (3/5 - 1/4)x = 4.9
Now, find a common denominator for 3/5 and 1/4, which is 20. (12/20 - 5/20)x = 4.9
Simplify to get (7/20)x = 4.9
Divide by 7/20 to isolate x: x = 4.9 / (7/20) = 4.9 * (20/7) = 14

So, x = 14

3) (7/8 - 0.2)x = 8.1
Convert 0.2 to a fraction: (7/8 - 1/5)x = 8.1
Find a common denominator for 7/8 and 1/5, which is 40. (35/40 - 8/40)x = 8.1
Simplify to get (27/40)x = 8.1
Divide by 27/40 to isolate x: x = 8.1 / (27/40) = 8.1 * (40/27) = 12

So, x = 12

4) (4 - 2 3/7)x = 2 5/14
Convert 2 3/7 and 2 5/14 to improper fractions: (4 - 17/7)x = 33/14
Find a common denominator for 17/7 and 33/14, which is 14. (56/14 - 34/14)x = 33/14
Simplify to get (22/14)x = 33/14
Divide by 22/14 to isolate x: x = 33/14 / 22 / 14 = 1.5

So, x = 1.5

Therefore, the solutions for x in each of the equations are:
1) x = 4.5
2) x = 14
3) x = 12
4) x = 1.5