Question

(5/8+x)+3/8=11/8. (4-x)+2/3=1 1/3​

Answer 1

Ответ:  1) (5/8+x)+3/8=11/8            5/8+x+3/8=11/8           1+x=11/8            x=11/8-1               x=3/8

Пошаговое объяснение:    (4-x)+2/3=1 1/3​                4-x+2/3=4/3             14/3-x=4/3               -x=4/3-14/3                -x=-10/3               x=10/3

Answer 2

Let's solve the equations step by step:

Equation 1: (5/8 + x) + 3/8 = 11/8

First, combine the fractions on the left side:

(5/8 + 3/8) + x = 11/8

8/8 + x = 11/8

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

x = 11/8 - 8/8

x = 3/8

Equation 2: (4 - x) + 2/3 = 1 1/3

First, convert the mixed number 1 1/3 to an improper fraction:

1 1/3 = 4/3

Now, let's simplify the equation:

4 - x + 2/3 = 4/3

To get rid of the fraction, multiply every term by 3:

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

12 - 3x + 2 = 4

Combine like terms:

14 - 3x = 4

Subtract 14 from both sides:

-3x = 4 - 14

-3x = -10

Divide by -3:

x = -10 / -3

Simplifying the fraction:

x = 10/3

Therefore, the solution to the equations is x = 3/8 and x = 10/3.