Question

Х+(х-3)+5/9(х+х-3)=98​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation, we need to simplify and solve for the value of x. Let's start by performing the necessary operations step-by-step:

1. Combine like terms:

   • Combine the terms with 'x': x + x = 2x
   • Combine the constants: -3 + 5 = 2

2. Simplify the equation: 2x + 2 + (5/9)(2x - 3) = 98

3. Distribute the fraction (5/9) into (2x - 3): (5/9) * 2x = (10/9)x (5/9) * (-3) = (-15/9) = -5/3

The equation becomes: 2x + 2 + (10/9)x - 5/3 = 98

4. Combine the x-terms and the constant terms on one side of the equation: 2x + (10/9)x = 98 - 2 + 5/3

5. Find a common denominator for the x-terms (9) and combine them: (18/9)x + (10/9)x = 98 - 2 + 5/3

6. Combine the x-terms: (28/9)x = 98 - 2 + 5/3

7. Combine the constants on the right side: (28/9)x = 294 - 2/3

8. Now, isolate x by dividing both sides by (28/9): x = (294 - 2/3) / (28/9)

To simplify the right side, remember to multiply the numerator by the reciprocal of the denominator: x = (294 - 2/3) * (9/28)

Now, calculate the result for x: x = (8232/28 - 2/3) x = (8232/28 - 18/28) x = 8214/28 x ≈ 293.357

So, the value of x is approximately 293.357.