Question

( 3х + 4) : 9= (х - 3) : 2

Answer 1

Ответ:

$x=11\frac{2}{3}$

Пошаговое объяснение:

(3x+4)·2=9·(x-3)

6x+8=9x-27

3x=35

x=11 $\frac{2}{3}$

Answer 2

Ответ:

$\frac{3x + 4}{9} = \frac{x - 3}{2} \\ 2(3x + 4) = 9(x - 3) \\ 6x + 8 = 9x - 27 \\ 6x + 8 - 9x + 27 = 0 \\ - 3x + 35 = 0 \\ - 3x = - 35 \\ x = 11 \frac{2}{3}$

Answer 3

To solve the equation (3x + 4) / 9 = (x - 3) / 2 for x, you can cross-multiply to eliminate the fractions. Here's how you can do it:

(3x + 4) / 9 = (x - 3) / 2

First, cross-multiply:

2(3x + 4) = 9(x - 3)

Now, distribute the numbers on both sides of the equation:

6x + 8 = 9x - 27

Next, isolate the x terms on one side of the equation. You can do this by subtracting 6x from both sides of the equation:

8 = 3x - 27

Now, add 27 to both sides to isolate the 3x term:

8 + 27 = 3x

35 = 3x

Finally, divide both sides by 3 to solve for x:

35 / 3 = x

So, x = 35/3 or approximately 11.67.