Question

1) 5/7 х + 2 1/7 = 3 3/28 - 4/7х2)5 1/6 + 4/15 t= - 2/5 - 2/3​

Answer 1

Ответ:

Пошаговое объяснение:

5/7 ·x+2 1/7=3 3/28 -4/7 ·x

5/7 ·x +4/7 ·x=3 3/28 -2 4/28

9/7 ·x=2 31/28 -2 4/28

9/7 ·x=27/28

x=27/28 ·7/9=3/4=0,75

5 1/6 +4/15 ·t=-2/5 -2/3

5 1/6 +2/5 +4/6=-4/15 ·t

5 25/30 +12/30=-4/15 ·t

187/30=-4/15 ·t

t=187/30 ·(-15/4)=-187/8=-23 3/8=-23,375

Answer 2

To solve the given equations, let's simplify the expressions and then solve for the unknown variables.

1. 5/7x + 2 1/7 = 3 3/28 - 4/7x

To simplify the equation, we need to convert the mixed numbers to improper fractions.

2 1/7 = (2 * 7 + 1)/7 = 15/7 3 3/28 = (3 * 28 + 3)/28 = 87/28

Now we can rewrite the equation:

5/7x + 15/7 = 87/28 - 4/7x

To get rid of the fractions, we can multiply the entire equation by the least common multiple (LCM) of the denominators, which is 28:

28 * (5/7x) + 28 * (15/7) = 28 * (87/28) - 28 * (4/7x)

20x + 60 = 87 - 16x

Combine like terms:

20x + 16x = 87 - 60

36x = 27

Divide both sides by 36 to solve for x:

x = 27/36

Simplifying the fraction:

x = 3/4

Therefore, the solution for the equation is x = 3/4.

2. 5 1/6 + 4/15 t = -2/5 - 2/3

Again, we convert the mixed number to an improper fraction:

5 1/6 = (5 * 6 + 1)/6 = 31/6

To simplify the equation, we need to find a common denominator for the fractions on both sides. The LCM of 6, 15, 5, and 3 is 30.

30 * (31/6) + 30 * (4/15) t = 30 * (-2/5) + 30 * (-2/3)

Simplifying the equation:

155t + 8 = -12 + (-20)

155t + 8 = -32

Subtract 8 from both sides:

155t = -32 - 8

155t = -40

Divide both sides by 155 to solve for t:

t = -40/155

Simplifying the fraction:

t = -8/31

Therefore, the solution for the equation is t = -8/31.