Question

(3x+2)/(x-1)=(7(x+3)-2(2x+5)-9)/(x-1)​

Answer 1

Ответ смотри на фото

Answer 2

To solve the equation, we first need to simplify the expression on the right side:

(7(x+3) - 2(2x+5) - 9) / (x-1)

Expand the terms inside the parentheses:

= (7x + 21 - 4x - 10 - 9) / (x - 1)

Combine like terms:

= (3x + 2) / (x - 1)

Now, we have the same expression on both sides of the equation:

(3x + 2) / (x - 1) = (3x + 2) / (x - 1)

Since the expressions are identical, we have an identity equation. This means the equation is true for all values of 'x.'

In other words, any 'x' value that satisfies the original equation (3x + 2)/(x - 1) = (7(x + 3) - 2(2x + 5) - 9)/(x - 1) would also satisfy the simplified equation (3x + 2)/(x - 1) = (3x + 2)/(x - 1).

Therefore, the solution is all real numbers except for 'x = 1' (since the expression is undefined when the denominator becomes zero).