Question

3-4х      8+9х       9-4х ------- - -------- = ------------ 3              4            8

Answer 1

Решение во вложении

Answer 2

To solve the equation, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) and simplify both sides of the equation.

Starting with the left-hand side of the equation:

3-4x/4 = (3/4) - (4/4) x

Next, simplify the right-hand side of the equation:

8 + 9x/8 = (8/8) + (9/8) x

9-4x/3 = (9/3) - (4/3) x

Now, we can substitute the simplified expressions back into the equation:

(3/4) - (4/4) x = (8/8) + (9/8) x - (9/3) + (4/3) x

To solve for x, we can simplify the expression by first getting rid of the denominators:

9(3/4) - 9(4/4) x = 8(8/8) + 8(9/8) x - 4(9/3) + 4(4/3) x

27/4 - 9/1 x = 8 + 9/1 x - 12 + 16/3 x

Now, we can combine like terms and isolate x on one side of the equation:

27/4 + 12 = 9/1 x + 9/3 x - 16/3 x + 8

39/4 = 2/3 x

x = (39/4) / (2/3)

x = 58.5/2

x = 29.25

Therefore, the solution to the equation is x = 29.25.