College Algebra

Complex Analysis

The given equation is a simple linear equation, 3y = 9. A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. In this case, the variable is 'y'. To solve for 'y', we need to isolate 'y' on one side of the equation. This is a fundamental concept in algebra known as the principle of isolation, which is used to solve for unknown variables. Step 1: Start with the given equation, 3y = 9. Step 2: To isolate 'y', we need to get rid of the '3' that is currently multiplied with 'y'. We can do this by dividing both sides of the equation by '3'. This is based on the principle of equality, which states that if the same quantity is added, subtracted, multiplied, or divided to both sides of an equation, the equation remains valid. So, divide both sides of the equation by '3': 3y/3 = 9/3 This simplifies to: y = 3 So, the solution to the equation 3y = 9 is y = 3. In terms of what this linear equation represents in algebra, it is a simple linear equation in one variable. It represents a straight line when graphed on a coordinate plane. However, since it only involves one variable, the line is parallel to one of the axes. In this case, no matter what value 'x' takes, 'y' will always be '3'. Therefore, the line represented by this equation is a horizontal line that crosses the y-axis at the point (0,3).

Question

If 3y = 9, what is the value of y, and what does this linear equation represent in algebra?

Solution

PrepMate

Ask a tutor

If you have any additional questions, you can ask one of our experts.