Problem
Solve the equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equatic \[ 6 x+4=3 x+4 \] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation has a single solution. The solution set is B. The solution set is $\{x \mid x$ is a real number $\}$. C. The solution set is $\varnothing$. iew an example Get more help -
Solution
Step 1 ：The given equation is \(6x + 4 = 3x + 4\).
Step 2 ：Subtract \(3x\) from both sides of the equation to get \(3x + 4 = 4\).
Step 3 ：Subtract \(4\) from both sides to get \(3x = 0\).
Step 4 ：Divide both sides by \(3\) to get \(x = 0\).
Step 5 ：The solution to the equation is \(x = 0\). This means that the equation is a conditional equation, because it is only true for \(x = 0\).
Step 6 ：Final Answer: \(\boxed{A. \{0\}}\)
