Question

2a + 11/4 = (3 - a/6​пж

Answer 1

Ответ:

$\displaystyle \boldsymbol {a=\frac{3}{26} }$

Объяснение:

$\displaystyle 2a +\frac{11}{4} =3-\frac{a}{6}$

1. переносим всё, что с а в левую часть, свободные члены в правую часть уравнения

2. приводим к общему знаменателю каждую из сторон

3. просто считаем дроби

$\displaystyle 2a+\frac{a}{6} =3-\frac{11}{4} \\\\\frac{12a+a}{6} =\frac{12-11}{4} \\\\\frac{13a}{6} =\frac{1}{4} \\\\52a=6\\\\a=\frac{6}{52} \\\\\boldsymbol {a=\frac{3}{26} }$

Проверяем

$\displaystyle 2*\frac{3}{26} +\frac{11}{4} =3-\frac{3}{26} :6\\\\\frac{6}{26} +\frac{11}{4} =3-\frac{3}{26*6} \\\\\frac{3}{13} +\frac{11}{4} =3-\frac{1}{52} \\\\\frac{12+143}{52} =2\frac{51}{52} \\\\\frac{155}{52} =\frac{155}{52}$

Answer 2

It looks like you have an equation with a variable "a" that you want to solve for. Let's simplify and solve for "a" step by step:

2a + 11/4 = (3 - a/6)

First, let's get rid of the fraction on the right side by multiplying both sides of the equation by 4 to eliminate the denominator:

4(2a + 11/4) = 4(3 - a/6)

This simplifies to:

8a + 11 = 12 - (4/6)a

Now, let's simplify the right side further:

8a + 11 = 12 - (2/3)a

Now, let's get all the terms with "a" on one side of the equation and the constants on the other side:

8a + (2/3)a = 12 - 11

Combine the "a" terms on the left side:

(8 + 2/3)a = 1

Now, we need to isolate "a." To do that, we can divide both sides by the coefficient of "a" (8 + 2/3):

a = 1 / (8 + 2/3)

Now, let's simplify the right side further by finding a common denominator for 8 and 2/3, which is 24/3:

a = 1 / (24/3 + 2/3)

a = 1 / (26/3)

Now, divide 1 by 26/3:

a = 1 * (3/26)

a = 3/26

So, the solution to the equation is:

a = 3/26