Question

9x-7/4-9x+13/8=3x-9/4

Answer 1

Ответ:

9x-7/4-9x+13/8=3x-9/4

9x-9x-3x=7/4+13/8-9/4

-3x=1,125

x=1,125÷(-3)

x=-3/8

Answer 2

To solve the equation $9x - \frac{7}{4} - 9x + \frac{13}{8} = 3x - \frac{9}{4}$, follow these steps:

Step 1: Combine like terms on both sides of the equation.

• On the left side, the $9x$ terms cancel each other out.
• On the left side, $-\frac{7}{4} + \frac{13}{8}$ can be simplified as follows: $-\frac{7}{4} + \frac{13}{8} = -\frac{14}{8} + \frac{13}{8} = -\frac{1}{8}$.
• On the right side, $-\frac{9}{4}$ remains the same.

So, the equation becomes: $-\frac{1}{8} = 3x - \frac{9}{4}$.

Step 2: Move the constant term ($-\frac{9}{4}$) to the left side by adding it to both sides of the equation. $-\frac{1}{8} + \frac{9}{4} = 3x$.

Simplify the left side: $\frac{35}{8} = 3x$.

Step 3: Solve for $x$ by dividing both sides of the equation by 3. $\frac{35}{8} \div 3 = x$.

Simplify the left side: $x = \frac{35}{24}$.

So, the solution to the equation is $x = \frac{35}{24}$.