Question

nalan was solving the equation $3x + 6 = 5x + 12$. he found the answer to be $x = -3$.

in the context of the problem, what does the answer mean? select all that apply.

a) any number can replace x for the equation to be true.

b) no number can replace x to make the equation true.

c) the number -3 can replace x to make the equation true.

d) the number -3 can replace x to make the equation false.

Explanation:

An equation's solution is a value that makes the equation true. Here, \(x = - 3\) is the solution. So when \(x=-3\), substituting into \(3x + 6\) gives \(3\times(-3)+6=-9 + 6=-3\), and substituting into \(5x + 12\) gives \(5\times(-3)+12=-15 + 12=-3\). So the equation \(3x + 6 = 5x + 12\) holds true for \(x = - 3\).

Answer:

C. The number -3 can replace x to make the equation true.