Question

Y+8целых 7/12=10целых 5/24x+14целых 2/9=38целых 1/18 y+3целых 7/11=9целых 3/22

Answer 1

1. y+8*7/12=10*5/24
y=50/24-56/12
y=50/24-112/24
y=-62/24
y=-31/12
y=-2*7/12
2. x+14*2/9=38*1/18
x=38/18-28/9
x=38/18-56/18
x=-18/18
x=-1
3. y+3*7/11=9*3/22
y=27/22-21/11
y=27/22-42/22
y=-15/22

Answer 2

To solve the equation, we need to find the value of the variable "y". Let's break down each equation and solve for "y" step by step.

1. Equation 1: Y + 8 целых 7/12 = 10 целых 5/24

To solve for "y," we need to isolate "y" on one side of the equation. Let's first convert all fractions to a common denominator:

12 is the common denominator for 7/12 and 5/24.

Now the equation becomes:

Y + 8 целых (7/12) = 10 целых (5/24)

To convert the whole numbers into fractions with a common denominator:

Y + (8 * 12/12) + (7/12) = (10 * 12/12) + (5/24)

Simplify:

Y + 96/12 + 7/12 = 120/12 + 5/24

Combine like terms:

Y + 103/12 = 125/12

Now, isolate "y":

Y = 125/12 - 103/12

Y = 22/12

Reduce the fraction:

Y = 11/6

2. Equation 2: (10 целых 5/24)x + 14 целых 2/9 = 38 целых 1/18

We'll follow similar steps as before to solve for "x."

Again, let's convert all fractions to a common denominator:

The common denominator for 5/24 and 1/18 is 72.

Now the equation becomes:

(10 целых (5/24))x + 14 целых (2/9) = 38 целых (1/18)

To convert the whole numbers into fractions with a common denominator:

(10 * 72/72) + (5/24) = (38 * 72/72) + (1/18)

Simplify:

(720/72) + (5/24) = (2736/72) + (1/18)

Combine like terms:

(720 + 5)/72 = (2736 + 2)/72

725/72 = 2738/72

Now, isolate "x":

x = 2738/72 - 725/72

x = 2013/72

Reduce the fraction:

x = 67/24

3. Equation 3: y + 3 целых 7/11 = 9 целых 3/22

Once again, we'll follow similar steps as before to solve for "y."

The common denominator for 7/11 and 3/22 is 22.

Now the equation becomes:

y + 3 целых (7/11) = 9 целых (3/22)

To convert the whole numbers into fractions with a common denominator:

y + (3 * 22/22) + (7/11) = (9 * 22/22) + (3/22)

Simplify:

y + 66/22 + 7/11 = 198/22 + 3/22

Combine like terms:

y + (66 + 7)/22 = (198 + 3)/22

y + 73/22 = 201/22

Now, isolate "y":

y = 201/22 - 73/22

y = 128/22

Reduce the fraction:

y = 64/11

So, the solutions to the equations are: y = 11/6 x = 67/24 y = 64/11