https://file.aiquickdraw.com/mathbot/file/17253914634846lb0zv91.jpg

The image shows a system of linear equations:

\[
\begin{aligned}
y &= 2x + 28 \\
y &= 9x
\end{aligned}
\]

To solve this system, we can use the substitution method since both equations are already solved for \( y \).

### Step 1: Set the equations equal to each other
Since \( y = 2x + 28 \) and \( y = 9x \), we can set them equal:

\[
2x + 28 = 9x
\]

### Step 2: Solve for \( x \)
Subtract \( 2x \) from both sides:

\[
28 = 7x
\]

Now, divide both sides by 7:

\[
x = 4
\]

### Step 3: Solve for \( y \)
Substitute \( x = 4 \) back into either equation (we'll use \( y = 9x \)):

\[
y = 9(4) = 36
\]

### Final Answer
The solution to the system of equations is:

\[
x = 4, \quad y = 36
\]

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:
1. How can we solve a system of equations using the elimination method?
2. What is the graphical interpretation of solving a system of linear equations?
3. How do you solve systems of equations where one equation is quadratic and the other is linear?
4. What are the conditions for a system of linear equations to have no solution?
5. How can matrices be used to solve a system of linear equations?

**Tip:** When solving systems of linear equations, always check if substitution or elimination is more convenient based on how the equations are presented.

Solve the system of equations: y = 2x + 28 and y = 9x.

Learn how to solve the system of linear equations y = 2x + 28 and y = 9x using the substitution method. This detailed step-by-step solution is perfect for students in Grades 8-10, covering key algebraic concepts.

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