Question

2*{9-2*[5-6:(3 -a)]} = 10

Answer 1

Ответ: 2*{9-[10-12:(3 -a)]} = 10⇒9-[10-12:(3 -a)]=5⇒10-12:(3 -a)=4⇒12/(3-a)=6⇒3-a=2⇒a=1.

Пошаговое объяснение:

Answer 2

Let's solve the equation step by step:

2 * {9 - 2 * [5 - 6 : (3 - a)]} = 10

First, let's simplify the expression within the innermost brackets:

6 : (3 - a) = 6 / (3 - a)

Now, we need to simplify the expression inside the curly braces:

9 - 2 * [5 - 6 / (3 - a)]

Next, we need to distribute the -2 to both terms inside the square brackets:

9 - 10 + 12 / (3 - a)

Now, let's simplify the terms inside the curly braces:

-1 + 12 / (3 - a)

Now, the expression inside the curly braces has been simplified. We can multiply the entire expression by 2:

2 * (-1 + 12 / (3 - a))

Now, distribute the 2 to both terms inside the curly braces:

-2 + 24 / (3 - a)

Now, our equation looks like this:

-2 + 24 / (3 - a) = 10

Let's isolate the fraction on one side of the equation:

24 / (3 - a) = 10 + 2

24 / (3 - a) = 12

Now, cross-multiply to solve for (3 - a):

24 = 12 * (3 - a)

Divide both sides by 12:

2 = 3 - a

Now, isolate 'a' by subtracting 3 from both sides:

2 - 3 = -a

-1 = -a

Finally, multiply both sides by -1 to solve for 'a':

a = 1

So, the solution to the equation is a = 1.