https://file.aiquickdraw.com/mathbot/file/17266041141891gm5b27s.jpg

The image contains a system of equations:

\[
\begin{cases}
2x - 5y = -17 & \text{(Equation 1)} \\
2x + 3y = 23 & \text{(Equation 2)}
\end{cases}
\]

The instructions seem to suggest subtracting Equation (2) from Equation (1) to eliminate the variable \( x \). Let's go through the steps:

### Step 1: Subtract Equation (2) from Equation (1)
\[
(2x - 5y) - (2x + 3y) = (-17) - 23
\]
Simplifying:
\[
2x - 5y - 2x - 3y = -17 - 23
\]
\[
-8y = -40
\]
\[
y = 5
\]

### Step 2: Substitute \( y = 5 \) into one of the original equations (we'll use Equation 2):
\[
2x + 3(5) = 23
\]
\[
2x + 15 = 23
\]
\[
2x = 8
\]
\[
x = 4
\]

### Final Answer:
\[
x = 4, \quad y = 5
\]

Let me know if you would like further clarification or details on this solution!

Here are 5 related questions:
1. How do you solve a system of equations using substitution?
2. What happens if both equations have the same slope?
3. How can you verify the solution to a system of equations?
4. Can a system of equations have no solution? What does that mean graphically?
5. How does the elimination method differ from substitution in solving systems of equations?

**Tip:** When solving a system of linear equations, always simplify and double-check by substituting the values back into the original equations to verify accuracy.

Solve the system of linear equations: 2x - 5y = -17 and 2x + 3y = 23. Subtract the second equation from the first and solve.

This problem solves a system of linear equations using the elimination method. Learn how to subtract two equations, eliminate one variable, and substitute to find the values of x and y. Suitable for students in Grades 8-10.

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