Question

-5(3-0, 5а) -6, 5=-0, 5(5а-43)​

Answer 1

Объяснение:

$- 15 + 2.5a - 6.5 = - 2.5a + 21.5 \\ 5a = 43 \\ a = 8.6$

Answer 2

To simplify the expression, let's perform the calculations step by step:

-5(3 - 0.5a) - 6.5 = -0.5(5a - 43)

First, let's simplify the expression on the left side of the equation:

-5(3 - 0.5a) - 6.5

= -5 * 3 + 5 * 0.5a - 6.5

= -15 + 2.5a - 6.5

= -21.5 + 2.5a

Now, let's simplify the expression on the right side of the equation:

-0.5(5a - 43)

= -0.5 * 5a + 0.5 * 43

= -2.5a + 21.5

Now, we have the simplified equation:

-21.5 + 2.5a = -2.5a + 21.5

To solve this equation, let's isolate the variable "a" on one side:

-21.5 + 2.5a + 2.5a = -2.5a + 2.5a + 21.5

-21.5 + 5a = 21.5

Next, let's isolate the variable "a" by moving the constant term to the other side:

-21.5 + 21.5 = 5a - 5a

0 = 0

The equation simplifies to 0 = 0, which is always true. This means that the original equation is an identity, and any value of "a" will satisfy it.

In other words, there are infinitely many solutions for "a" in this equation.