0.3x + 0.7x + 1 = 2(0.5x+0.5)

2 min read Jun 09, 2024
0.3x + 0.7x + 1 = 2(0.5x+0.5)

Oke, berikut adalah artikel tentang persamaan 0.3x + 0.7x + 1 = 2(0.5x+0.5):

Solving the Equation: 0.3x + 0.7x + 1 = 2(0.5x + 0.5)

This equation involves combining like terms, distributing, and simplifying to find the value of 'x'. Here's how we solve it step-by-step:

1. Combine Like Terms on the Left Side

  • On the left side of the equation, combine the 'x' terms: 0.3x + 0.7x = 1x or simply x.
  • The equation now becomes: x + 1 = 2(0.5x + 0.5)

2. Distribute on the Right Side

  • Multiply the 2 on the right side of the equation with both terms inside the parentheses: 2 * 0.5x = x and 2 * 0.5 = 1.
  • The equation now becomes: x + 1 = x + 1

3. Simplify and Solve for x

  • Notice that both sides of the equation are now identical. This means that the equation is true for all values of 'x'.
  • Therefore, the solution to the equation is that 'x' can be any real number.

Conclusion

The equation 0.3x + 0.7x + 1 = 2(0.5x + 0.5) has an infinite number of solutions, as it simplifies to an identity where both sides are equal regardless of the value of 'x'.

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