Match the description of the one variable equation with the number of solutions it will have.(4 points)

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.

x−7=7−x
3(x+5)=3x+5
10−x=25
2(x+4)=2x+5+3

one solution
two solution
no solution
infinite solutions

Answer 1

Here are the matches for the one variable equations based on their descriptions:

1. x−7=7−x: Infinite solutions (This equation simplifies to 0=0, meaning it's true for all x)

2. 3(x+5)=3x+5: One solution (This simplifies to 15=15, which is another identity)

3. 10−x=25: One solution (This can be solved to find x = -15)

4. 2(x+4)=2x+5+3: No solution (This simplifies to 8=8, which is not true)

So,

• x−7=7−x: Infinite solutions
• 3(x+5)=3x+5: One solution
• 10−x=25: One solution
• 2(x+4)=2x+5+3: No solution