Problem 102 - College Algebra Essentials

Question

Write each algebraic expression without parentheses. $$\frac{1}{2}(2 y)+[(-7 x)+7 x]$$

Step-by-Step Solution

Answer

Therefore, the algebraic expression without parentheses is \(y\).

Step 1: Distribute Fraction

Give each term in the parentheses \((2y)\) the multiplication of \(\frac{1}{2}\): \(\frac{1}{2} \cdot 2y = y\)

Step 2: Simplify Square Brackets

-7x and +7x inside the square brackets simply cancel each other out to give 0: \(-7x + 7x = 0\)

Step 3: Final Result Without Parentheses

Combining the results from Step 1 and Step 2, we have: \(y + 0 = y\)