https://file.aiquickdraw.com/mathbot/file/1726718162778c206vxrm.jpg

The image presents a system of two linear equations in two variables:

1. \( y = 7x - 2 \)
2. \( y = 4x + 1 \)

This is likely asking to solve the system of equations using a method (based on the partial text: "menggunakan metode," which is Indonesian for "using the method"). The most common methods for solving such systems are substitution, elimination, or graphical methods.

### Let's solve it using **substitution**:

1. Since both equations are already solved for \(y\), we can set them equal to each other:
   \[
   7x - 2 = 4x + 1
   \]

2. Solve for \(x\):
   \[
   7x - 4x = 1 + 2
   \]
   \[
   3x = 3
   \]
   \[
   x = 1
   \]

3. Substitute \(x = 1\) into one of the original equations (e.g., \(y = 7x - 2\)) to find \(y\):
   \[
   y = 7(1) - 2 = 7 - 2 = 5
   \]

So, the solution to the system is:
\[
x = 1, \quad y = 5
\]

Would you like more details on this method or prefer to see another method like elimination?

### Related questions:
1. How does the elimination method work for solving systems of equations?
2. Can all systems of linear equations be solved using substitution?
3. What is the graphical interpretation of solving this system of equations?
4. Are there cases where systems of equations have no solution or infinitely many solutions?
5. How can systems of equations be used in real-life applications, such as business or physics?

### Tip:
When both equations are already solved for one variable (like \(y\) here), substitution is often the easiest method to use.

Solve the system of equations: y = 7x - 2 and y = 4x + 1

Learn how to solve the system of linear equations y = 7x - 2 and y = 4x + 1 using the substitution method. This problem involves key algebraic concepts, such as solving systems of equations, and is suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation