Question

Розв'яжіть рівняння 1/8-(3/4-у)=1/5-1/10

Answer 1

$\frac{1}{8}-\left(\frac{3}{4}-y\right)=\frac{1}{5}-\frac{1}{10}$

$\frac{1}{8}-\left(\frac{3}{4}-y\right)=\frac{2}{10}-\frac{1}{10}$

$\frac{1}{8}-\left(\frac{3}{4}-y\right)=\frac{2-1}{10}$

$\frac{1}{8}-\left(\frac{3}{4}-y\right)-\frac{1}{8}=\frac{1}{10}-\frac{1}{8}$

$-\left(\frac{3}{4}-y\right)=-\frac{1}{40}$

$\frac{-\left(\frac{3}{4}-y\right)}{-1}=\frac{-\frac{1}{40}}{-1}$

$\frac{3-4y}{4}=\frac{1}{40}$

$\frac{4\left(3-4y\right)}{4}=\frac{1\cdot \:4}{40}$

$3-4y=\frac{1}{10}$

$3-4y-3=\frac{1}{10}-3$

$-4y=-\frac{29}{10}$

$\frac{-4y}{-4}=\frac{-\frac{29}{10}}{-4}$

ответ:

$y=\frac{29}{40}$

Answer 2

1/8 - (3/4 - у) = 1/5 - 1/10

First, let's simplify the equation by solving the parentheses:

1/8 - 3/4 + у = 1/5 - 1/10

Now, let's find a common denominator for the fractions on both sides of the equation. The common denominator for 8, 4, and 10 is 40.

Multiplying the fractions by 5, 10, and 4, respectively, we get:

5/40 - 30/40 + 4y/40 = 8/40 - 4/40

Now, let's combine the like terms:

-25/40 + 4y/40 = 4/40

-25/40 + 4y/40 = 4/40

Next, let's add 25/40 to both sides of the equation:

4y/40 = 4/40 + 25/40

4y/40 = 29/40

Now, let's multiply both sides by 40 to solve for y:

4y = 29

Finally, we divide both sides by 4:

y = 29/4

So, the solution to the equation is y = 29/4.