Question

-1 14/25-x=3 7/10-4 2/5​

Answer 1

$-1\frac{14}{25}-x=3\frac{7}{10}-4\frac{2}{5} \\\\-x=3\frac{7}{10}-4\frac{2}{5}+1\frac{14}{25}\\\\-x=\frac{37}{10}-\frac{22}{5}+\frac{39}{25} \\\\-x=\frac{185}{50}-\frac{220}{50}+\frac{78}{50}\\\\-x=-\frac{35}{50}+\frac{78}{50}\\\\-x=\frac{43}{50}\\\\x=-\frac{43}{50}$

Проверка:

$x=-\frac{43}{50} \\\\-1\frac{14}{25}-(-\frac{43}{50})=3\frac{7}{10}-4\frac{2}{5}\\\\-\frac{39}{25}+\frac{43}{50}=\frac{37}{10}-\frac{22}{5}\\\\-\frac{78}{50}+\frac{43}{50}=\frac{185}{50}-\frac{220}{5} \\\\-\frac{35}{50}=-\frac{35}{50}$

Answer 2

-1 14/25-х=3 7/10-4 2/5
-39/25-х=37/10-22/5
-39/25-х=-7/10
-х=-7/10+39/25
х=-43/50

Answer 3

To solve the equation:

-1 14/25 - x = 3 7/10 - 4 2/5

We'll first simplify both sides of the equation and then solve for x step by step.

On the left side of the equation, -1 14/25 can be written as an improper fraction:

-1 14/25 = -(25/25 + 14/25) = -39/25

On the right side of the equation, we need to subtract 3 7/10 from 4 2/5. We'll first convert these mixed numbers to improper fractions:

3 7/10 = (10/10 * 3) + 7/10 = 30/10 + 7/10 = 37/10

4 2/5 = (5/5 * 4) + 2/5 = 20/5 + 2/5 = 22/5

Now, we can rewrite the equation:

-39/25 - x = 37/10 - 22/5

Next, we'll find a common denominator, which is 50, for both fractions on the right side of the equation:

-39/25 - x = (37/10 * 5/5) - (22/5 * 10/10) -39/25 - x = (185/50) - (220/50)

Now, subtract the fractions on the right side:

-39/25 - x = (185 - 220)/50 -39/25 - x = (-35)/50

Simplify the right side:

-39/25 - x = -7/10

Now, to isolate x, add 39/25 to both sides of the equation:

-39/25 + 39/25 - x = -7/10 + 39/25

This simplifies to:

0 - x = (-70/100) + (156/100)

Now, add the fractions on the right side:

-x = 86/100

Simplify further by reducing the fraction:

-x = 43/50

To solve for x, multiply both sides by -1:

x = -43/50

So, the solution to the equation is:

x = -43/50