Question

45/140-х=12/140+21/140 решить уравнение

Answer 1

Ответ:

Пошаговое объяснение:

$\[\begin{gathered}\frac{{45}}{{140}}-x=\frac{{12}}{{140}}+\frac{{21}}{{140}}\hfill\\x=\frac{{45}}{{140}}-\left({\frac{{12}}{{140}}+\frac{{21}}{{140}}}\right)\hfill\\x=\frac{{45}}{{140}}-\frac{{12}}{{140}}-\frac{{21}}{{140}}\hfill\\x=\frac{{45-12-21}}{{140}}\hfill\\x=\frac{{12}}{{140}}=\boxed{\frac{3}{{35}}}\hfill\\\end{gathered}\]$

Answer 2

To solve the equation, we'll start by simplifying the expressions on both sides of the equation:

1. Simplify the right-hand side (RHS): 12/140 + 21/140 = (12 + 21) / 140 = 33 / 140

2. Now the equation becomes: 45/140 - x = 33/140

Next, we want to isolate "x" on one side of the equation. To do that, we'll move the term with "x" to one side and the constants to the other side:

3. Move the constant term to the right side of the equation: 45/140 - x = 33/140

   Subtract 45/140 from both sides to move "x" to the left side: -x = 33/140 - 45/140

4. Now, subtract the fractions on the right side: -x = (33 - 45) / 140 = -12 / 140

5. To get rid of the negative sign in front of "x," multiply both sides by -1: x = (12 / 140) * (-1)

Finally, let's simplify "x":

x = -12 / 140

Since -12 and 140 have a common factor of 4, we can simplify the fraction:

x = (-12 / 140) = (-3 / 35)

So, the solution to the equation is:

x = -3 / 35