Question

X-1 3/4=2 1/4(12 5/13+y)-7 7/13=5 5/13СРОЧНО ​

Answer 1

1 уравнение.

Ответ: х=4

___________

2 уравнение.

Ответ: у=7/13.

Answer 2

To solve for the variable "y" in the equation X - 1 3/4 = 2 1/4(12 5/13 + y) - 7 7/13 = 5 5/13, we can follow these steps:

Step 1: Simplify the expressions on both sides of the equation. Let's simplify each part of the equation one by one:

On the left side: X - 1 3/4 can be written as a mixed number. X - 7/4

On the right side: 2 1/4(12 5/13 + y) - 7 7/13 can be simplified as follows: 2 1/4(12 5/13 + y) - 7 7/13 = 2 1/4(12 5/13) + 2 1/4(y) - 7 7/13 = 2 1/4 * (12 5/13) + 2 1/4 * y - 7 7/13

Now, let's convert 2 1/4 into an improper fraction: 2 1/4 = 9/4

So, the equation becomes: (9/4)(12 5/13) + (9/4)y - 7 7/13

Now, we need to calculate (9/4)(12 5/13):

Step 2: Calculate (9/4)(12 5/13) To multiply a whole number by a mixed number, first convert the whole number to a fraction with the same denominator as the mixed number:

12 = 12/1

Now, multiply: (9/4)(12/1) = (912)/(41) = 108/4 = 27

So, (9/4)(12 5/13) = 27 5/13

Step 3: Substitute the simplified expressions back into the equation. Now, we can rewrite the equation with the simplified expressions:

X - 7/4 = 27 5/13 + (9/4)y - 7 7/13 = 5 5/13

Step 4: Isolate the term with "y" on one side of the equation. Let's isolate the term with "y" on one side of the equation. First, add 7/4 to both sides of the equation to get rid of the fraction on the left side:

X = 27 5/13 + (9/4)y - 7 7/13 + 7/4

Now, simplify the right side of the equation:

X = 27 5/13 - 7 7/13 + (9/4)y + 7/4

Combine like terms on the right side:

X = 19 6/13 + (9/4)y + 7/4

Step 5: Solve for "y." To isolate "y," subtract 19 6/13 + 7/4 from both sides:

X - 19 6/13 - 7/4 = (9/4)y

Now, simplify the left side:

X - 19 6/13 - 7/4 = (9/4)y

Finally, divide both sides by (9/4) to solve for "y":

y = (X - 19 6/13 - 7/4) / (9/4)

Now, you have the value of "y" in terms of "X."