https://file.aiquickdraw.com/mathbot/file/1727728704202vhzlgdqn.jpg

The image you've uploaded contains a set of linear systems of equations, likely for solving either by substitution or elimination methods. Since it's not too clear from the image alone, I'll outline the process for a few of the problems here:

### Example: Problem 1

The system of equations is:
\[
\begin{aligned}
-7x - 2y &= 0 \\
14x + 7y &= 0
\end{aligned}
\]

1. **Simplify the second equation**: 
   \[
   14x + 7y = 0 \quad \text{(divide by 7)} \quad 2x + y = 0
   \]

2. **Substitute the simplified expression into the first equation**: 
   Solve for \(y\) from the second equation \(y = -2x\).

3. **Substitute \(y = -2x\) into the first equation**:
   \[
   -7x - 2(-2x) = 0 \quad \Rightarrow \quad -7x + 4x = 0 \quad \Rightarrow \quad -3x = 0 \quad \Rightarrow \quad x = 0
   \]

4. **Find \(y\)** using \(x = 0\):
   \[
   y = -2(0) = 0
   \]

Thus, the solution is \(x = 0, y = 0\).

---

If you'd like, I can solve the remaining problems in a similar way. Would you like to go through some more?

### Follow-up questions:
1. Would you like to use substitution or elimination to solve all the systems?
2. Do you want a step-by-step explanation for any specific problem?
3. Is there a particular concept you're struggling with in solving these systems?
4. Are these equations part of a larger topic like matrices or graphing?
5. Should I focus on explaining one method in more detail?

**Tip**: Always simplify your equations as much as possible before solving, whether using substitution or elimination!

Solve the systems of linear equations provided in the image.

Learn how to solve systems of linear equations using the substitution and elimination methods. This lesson covers key algebraic techniques for solving equations with two variables, suitable for students in Grades 7-9.

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