Question

Which student correctly wrote an equation with a solution of x = 4?

A) Student 1: 2x + 3 = 10
B) Student 2: 5x - 1 = 14
C) Student 3: x/2 + 2 = 3
D) Student 4: 2x - 8 = 0

Answer 1

The correct equation with a solution of x = 4 is Student 4's equation, 2x - 8 = 0. None of the other given equations yield x = 4 when solved.

Step-by-step explanation:

The question "Which student correctly wrote an equation with a solution of x = 4?" aims to identify the equation that, when solved, gives the result x = 4. We will evaluate each student's equation to find the correct one.

• Student 1: 2x + 3 = 10. When we solve for x by subtracting 3 from both sides and then dividing by 2, we get x = 3.5, which is not the solution we are looking for.
• Student 2: 5x - 1 = 14. We solve for x by adding 1 to both sides and then dividing by 5, which gives us x = 3, not the correct solution.
• Student 3: x/2 + 2 = 3. Subtracting 2 from both sides and then multiplying by 2 gives us x = 2, which is incorrect.
• Student 4: 2x - 8 = 0. Adding 8 to both sides and then dividing by 2, we find that x = 4. This is the correct equation corresponding to our solution.

The correct answer is D) Student 4: 2x - 8 = 0.