Problem 57 - Introductory Algebra for College Students

Question

Simplify each algebraic expression. $$7 x+(-5 y)+(-9 x)+19 y$$

Step-by-Step Solution

Answer

The simplifed form of the expression is \((-2x)+14y\).

Step 1: Identify like terms

Like terms are terms that have the same variables raised to the same power. Here, \(7x\) and \(-9x\) are like terms since they both contain the variable \(x\). Similarly, \(-5y\) and \(19y\) are like terms since they both contain the variable \(y\).

Step 2: Combine like terms

Add or subtract the coefficients of like terms together. Combining the like terms gives us \((-2x)+14y\).

Step 3: Write the final simplified expression

The simplifed form of the expression is hence \((-2x)+14y\).