Simplifying Algebraic Expressions: 0.3(1.2x - 0.5y) - 1.5(0.4x + y)
In this article, we will explore the process of simplifying algebraic expressions, specifically the expression 0.3(1.2x - 0.5y) - 1.5(0.4x + y).
Step 1: Expand the Brackets
The first step in simplifying this expression is to expand the brackets. To do this, we need to multiply each term inside the brackets by the coefficient outside the brackets.
0.3(1.2x - 0.5y) = 0.36x - 0.15y
-1.5(0.4x + y) = -0.6x - 1.5y
Step 2: Combine Like Terms
Now that we have expanded the brackets, we need to combine like terms.
0.36x - 0.6x = -0.24x
-0.15y - 1.5y = -1.65y
Final Answer
The simplified expression is:
-0.24x - 1.65y
In this article, we have demonstrated the steps involved in simplifying the algebraic expression 0.3(1.2x - 0.5y) - 1.5(0.4x + y). By expanding the brackets and combining like terms, we were able to simplify the expression to -0.24x - 1.65y.