Problem 53
Question
Simplify each algebraic expression. $$4 y+(-13 z)+(-10 y)+17 z$$
Step-by-Step Solution
Verified Answer
The simplified expression is \(-6 y + 4 z\).
1Step 1: Identify like terms
The like terms in the expression are \(4 y\) and \(-10 y\), and \(-13 z\) and \(17 z\).
2Step 2: Combine like terms
Add or subtract the coefficients of the like terms. So, \(4 y \) and \(-10 y\) simplify to \(-6 y\) and \(-13 z\) and \(17 z\) simplify to \(4 z\).
3Step 3: Form the simplified expression
Combine the terms \(-6 y\) and \(4 z\) to form the simplified expression.
Other exercises in this chapter
Problem 53
Insert either \(\) in the shaded area between each pair of numbers to make a true statement. $$-\frac{3}{4}\square-\frac{5}{4}$$
View solution Problem 53
Determine whether the given number is a solution of the equation. $$5 a-4=2 a+5 ; 3$$
View solution Problem 53
Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{4} \div \frac{4}{3}$$
View solution Problem 54
Simplify each series of additions and subtractions. $$8-2+5-13$$
View solution