Question

X/2 - 4/3 = 2x - 9/4​

Answer 1

Відповідь:

x = 11/18

Пояснення:

x/2 - 4/3 = 2x - 9/4​ | • 4

6x - 16 = 24x - 27

-18x = -11

x = 11/18

Answer 2

To solve the equation $\frac{x}{2} - \frac{4}{3} = 2x - \frac{9}{4}$, you can follow these steps:

Step 1: Get rid of fractions by finding a common denominator. In this case, the common denominator would be 12, so multiply every term by 12 to clear the fractions:

$12 \left( \frac{x}{2} \right) - 12 \left( \frac{4}{3} \right) = 12 \left( 2x - \frac{9}{4} \right)$

This simplifies to:

$6x - 16 = 24x - 27$

Step 2: Move all the x terms to one side of the equation and the constant terms to the other side. You can do this by subtracting $24x$ from both sides and adding 16 to both sides:

$6x - 24x - 16 + 16 = 24x - 24x - 27 + 16$

Simplifying further:

$-18x = -11$

Step 3: Divide both sides by -18 to solve for x:

$\frac{-18x}{-18} = \frac{-11}{-18}$

This simplifies to:

$x = \frac{11}{18}$

So, the solution to the equation is $x = \frac{11}{18}$.