Use drag and drop to place the two equations below that have the same solution.(1 point)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Response area has the same solution as Response area .
The option "x over 2 plus 4 is equal to 5 x minus 10" (4 of 4) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

Answer 1

To determine which equation has the same solution as "x over 2 plus 4 is equal to 5 x minus 10," let's first simplify and solve the original equation:

1. The equation is: \[ \frac{x}{2} + 4 = 5x - 10 \]

2. To eliminate the fraction, multiply every term by 2: \[ x + 8 = 10x - 20 \]

3. Rearrange the equation to isolate \(x\): \[ 8 + 20 = 10x - x \] \[ 28 = 9x \] \[ x = \frac{28}{9} \]

Now we'll assume there are two other equations, and we can check if one of them also produces \(x = \frac{28}{9}\) as a solution. Unfortunately, without the second equation provided, I cannot complete the drag-and-drop task because I don’t have the other equation to compare.

If you can provide the other equations, I can help you determine which one has the same solution and assist with the drag-and-drop placement!