Question

B) y+1 1/12=-2 11/14

Answer 1

У=-2 11/14-1 1/12
у=-2 66/84-1 7/84
у=-3 73/84

Answer 2

Y=2 11/14-1 1/12
y=16,8

Answer 3

To solve the equation $y + \frac{1}{12} = -2 \frac{11}{14}$, we need to first convert the mixed number on the right side to an improper fraction.

Step 1: Convert the mixed number to an improper fraction. $-2 \frac{11}{14}$ can be converted to an improper fraction as follows: $-2 \frac{11}{14} = -\left(2 + \frac{11}{14}\right) = -\left(\frac{28}{14} + \frac{11}{14}\right) = -\frac{39}{14}$

Step 2: Rewrite the equation with the improper fraction. Now, our equation becomes: $y + \frac{1}{12} = -\frac{39}{14}$

Step 3: To isolate the variable $y$, we need to get rid of the fraction $\frac{1}{12}$ on the left side. To do this, we'll subtract $\frac{1}{12}$ from both sides of the equation:

$y + \frac{1}{12} - \frac{1}{12} = -\frac{39}{14} - \frac{1}{12}$

Simplifying: $y = -\frac{39}{14} - \frac{1}{12}$

Step 4: Find a common denominator for the two fractions on the right side and then subtract them:

To find the common denominator, we take the least common multiple (LCM) of 14 and 12, which is 84.

$-\frac{39}{14} - \frac{1}{12} = -\frac{39 \times 6}{14 \times 6} - \frac{1 \times 7}{12 \times 7} = -\frac{234}{84} - \frac{7}{84} = -\frac{234 + 7}{84} = -\frac{241}{84}$

So, the solution to the equation is $y = -\frac{241}{84}$.