Question

4/9 x + 14 = 1/6 x +9

Answer 1

Ответ:

-18.

Пошаговое объяснение:

4/9 x + 14 = 1/6 x +9

4/9х - 1/6х = 9-14

8/18х - 3/18х = -5

5/18х = - 5

х = -5 : 5/18

х = -5•18/5

х = -18.

Проверка:

4/9•(-18) + 14 = 1/6•(-18) +9

-8+14 = -3+9

6=6 - верно.

Answer 2

To solve the equation, we'll isolate the variable "x" on one side. Follow these steps:

Step 1: Get rid of any fractions by multiplying all terms by the least common multiple (LCM) of the denominators (in this case, the LCM of 9 and 6, which is 18).

Step 2: Simplify both sides of the equation.

Step 3: Isolate the variable "x" on one side by moving all terms containing "x" to one side and constants to the other side.

Let's go through the steps:

Step 1: Multiply all terms by 18 to eliminate the fractions:

(18) * (4/9x) + (18) * 14 = (18) * (1/6x) + (18) * 9

Step 2: Simplify:

4 * 2x + 252 = 3x + 162

Step 3: Isolate "x" terms on one side and constants on the other side:

8x + 252 = 3x + 162

Next, move 3x to the left side by subtracting 3x from both sides:

8x - 3x + 252 = 3x - 3x + 162

Simplify:

5x + 252 = 162

Now, move the constant term to the other side by subtracting 252 from both sides:

5x + 252 - 252 = 162 - 252

Simplify:

5x = -90

Finally, solve for "x" by dividing both sides by 5:

x = -90 / 5

Simplify:

x = -18

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