0.7 X − 0.2 = 8.3 X + 7.2

less than a minute read Jun 10, 2024
0.7 X − 0.2 = 8.3 X + 7.2

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.

Related Post


Latest Posts


Featured Posts