Question

3) 4/9х+14=1/6х+9 ______________​

Answer 1

4/9х+14=1/6х+9
8х+252=3х+162
8х-3х=162-252
5х=-90
х=-18
Ответ:-18

Answer 2

To solve the equation, we need to isolate the variable x. Let's go step by step:

Given equation: 4/9x + 14 = 1/6x + 9

Step 1: Let's start by getting rid of the fractions. We can do this by multiplying every term in the equation by the least common multiple (LCM) of the denominators, which is 54.

54 * (4/9x) + 54 * 14 = 54 * (1/6x) + 54 * 9

Step 2: Simplify each term after multiplying:

(4/9) * 54x + 54 * 14 = (1/6) * 54x + 54 * 9

24x + 756 = 9x + 486

Step 3: Combine like terms:

24x - 9x = 486 - 756

15x = -270

Step 4: Solve for x by dividing both sides of the equation by 15:

x = -270 / 15

x = -18

Therefore, the solution to the equation is x = -18.