Question

"Fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Solve the two-step equation. -2/3x - 21/4 = 27/4" A) x = -9/2 B) x = 2/3 C) x = -6 D) x = -5

Answer 1

The equation -2/3x - 21/4 = 27/4 is solved by isolating x and then dividing both sides by -2/3. The correct answer for x is -18, which isn't included in the provided options.

Step-by-step explanation:

To solve the equation -2/3x - 21/4 = 27/4, let's take it step by step. First, isolate the x term by adding 21/4 to both sides of the equation. This results in: -2/3x = 27/4 + 21/4, which simplifies to -2/3x = 48/4 or -2/3x = 12.

For the second step, we divide both sides by -2/3 (which is the same as multiplying by -3/2) to solve for x: x = 12(-3/2) = -18. Therefore, none of the options provided as answers are correct. The correct answer is x = -18.

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