https://file.aiquickdraw.com/mathbot/file/1729007660898q3doopnf.jpg

To solve the system using substitution, Anthony should replace \( y \) in the first equation with the expression given for \( y \) in the second equation. Here's the process:

The system is:
\[
6x - 2y = 10
\]
\[
y = 3x - 5
\]

Substituting \( y = 3x - 5 \) into the first equation:
\[
6x - 2(3x - 5) = 10
\]

This matches option **B**: \( 6x - 2(3x - 5) = 10 \).

So, the correct answer is **B**.

Would you like further explanation on how this substitution works?

### Related Questions
1. How do you solve the system of equations after substitution?
2. What happens if you solve the equations using the elimination method instead of substitution?
3. Can substitution be used for all types of systems of linear equations?
4. What is the next step after substituting the expression for \( y \) into the equation?
5. Why is substitution an effective method for solving systems of equations?

**Tip:** Always isolate one variable first if possible when using the substitution method to simplify the process!

Anthony is solving a system of linear equations using substitution: 6x - 2y = 10 and y = 3x - 5. Which equation represents the first step for Anthony to solve the system?

Learn how to solve a system of linear equations using the substitution method. This problem involves the system 6x - 2y = 10 and y = 3x - 5, with a detailed step-by-step solution. Ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation