0.7 X − 0.2 = 8.3 X + 7.2

TAMPAR

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Jun 10, 2024

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Oke, berikut langkah-langkah untuk menyelesaikan persamaan $0.7x - 0.2 = 8.3x + 7.2$:

Solving the equation $0.7x - 0.2 = 8.3x + 7.2$

1. Combine like terms: To isolate the $x$ term, subtract $0.7x$ from both sides:

   $0.7x - 0.2 - 0.7x = 8.3x + 7.2 - 0.7x$

   This simplifies to:

   $-0.2 = 7.6x + 7.2$

2. Isolate the x term: Subtract $7.2$ from both sides:

   $-0.2 - 7.2 = 7.6x + 7.2 - 7.2$

   This simplifies to:

   $-7.4 = 7.6x$

3. Solve for x: Divide both sides by $7.6$ to get $x$ by itself:

   $-7.4 / 7.6 = 7.6x / 7.6$

   Therefore, $x = -0.97$ (rounded to two decimal places).

Verifying the solution

To check if our solution is correct, we can substitute $x = -0.97$ back into the original equation:

$0.7(-0.97) - 0.2 = 8.3(-0.97) + 7.2$

Simplifying both sides:

$-0.679 - 0.2 = -8.041 + 7.2$

$-0.879 = -0.841$

The two sides are approximately equal, which confirms that our solution $x = -0.97$ is correct.