Algebraic equations (Part 1)SOLVING EQUATIONSIs u=3𝑢=3 a solution to the following equation?2u=62𝑢=6Answer:u=3𝑢=3 a solution to the equation.

1. Break Down the Problem

We need to determine if $u = 3$ is a solution to the equation $2u = 6$. To do this, we will substitute $u = 3$ into the equation and check if both sides are equal.

2. Relevant Concepts

The equation we are working with is a linear equation in one variable. The general form is $ax = b$, where $a$ and $b$ are constants.

3. Analysis and Detail

1. Substitute $u = 3$ into the equation: $2(3) = 6$
2. Calculate the left side: $6 = 6$

4. Verify and Summarize

Since both sides of the equation are equal, $6 = 6$ is a true statement. This confirms that $u = 3$ is indeed a solution to the equation $2u = 6$.

Final Answer

Yes, $u = 3$ is a solution to the equation $2u = 6$.