Question

Determine which integer will make the equation true. 2x 6 = 12 s = {3, 4, 5, 6} 3 4 5 6

Answer 1

The integer that makes the equation 2x + 6 = 12 true from the set {3, 4, 5, 6} is 3. This was found by first simplifying the equation to 2x = 6 and then dividing by 2 to solve for x, resulting in x = 3.

Step-by-step explanation:

The student has been asked to determine which integer from the set {3, 4, 5, 6} will make the equation 2x + 6 = 12 true. To solve the equation, let's follow a structured approach:

1. Identify the unknown: Here, the unknown is x.
2. Identify the known terms, which in this case are the numbers in the equation.
3. Choose an equation and substitute the known values to solve for the unknown. The equation we have is 2x + 6 = 12.
4. Simplify the algebra by eliminating terms wherever possible. This can be done by subtracting 6 from both sides to get 2x = 6.
5. Divide both sides by 2 to isolate x, which gives us x = 3.
6. Check the answer to ensure it is reasonable, by plugging it back into the original equation: 2(3) + 6 = 12, which simplifies to 12 = 12, confirming that the solution is correct.

Therefore, the integer that makes the equation true is 3.