To solve the equation \( 4 + 3z = 2 + 5z \) for \( z \), follow these steps:

1. Subtract \( 3z \) from both sides to move the \( z \)-terms to one side:
   \[
   4 = 2 + 2z
   \]

2. Subtract 2 from both sides to isolate the term with \( z \):
   \[
   2 = 2z
   \]

3. Divide both sides by 2 to solve for \( z \):
   \[
   z = 1
   \]

Thus, the solution is \( z = 1 \).

Would you like more details on this process?

Here are 5 related questions:
1. How do you solve linear equations with variables on both sides?
2. What are the properties of equality used in solving equations?
3. How would the solution change if the equation was \( 4 + 3z = 2 + 4z \)?
4. Can you explain how to check the solution of a linear equation?
5. What happens when there are no solutions to an equation?

**Tip:** Always check your solution by substituting the value of the variable back into the original equation!

Learn how to solve the linear equation 4 + 3z = 2 + 5z with a step-by-step solution. This problem covers key algebraic concepts such as linear equations with variables on both sides and the properties of equality. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation