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The image you uploaded shows a math problem about solving systems of equations, with one of the tasks being to determine where to substitute a value in one of the equations. It appears to be part of a video or interactive content on Edpuzzle.

Let's analyze the system of equations in question 1:

1. \(4x + 3y = 29\)
2. \(x = 4\)

To solve this system, we can substitute \(x = 4\) from the second equation into the first equation, replacing \(x\) with 4 in \(4x + 3y = 29\). This will help us solve for \(y\).

The substitution and solution steps are as follows:

1. Substitute \(x = 4\) into the first equation:
   \[
   4(4) + 3y = 29
   \]
2. Simplify and solve for \(y\):
   \[
   16 + 3y = 29
   \]
   \[
   3y = 29 - 16
   \]
   \[
   3y = 13
   \]
   \[
   y = \frac{13}{3}
   \]

Thus, the solution to the system is \(x = 4\) and \(y = \frac{13}{3}\).

Let me know if you’d like more details on any of the steps, or if you have any further questions!

Here are some additional questions that build on this topic:

1. What if the system had no solutions? How would you identify that?
2. How would you solve this system if both equations involved both variables?
3. Can you explain how substitution differs from elimination in solving systems of equations?
4. How would you check if your solution to the system is correct?
5. What are some real-life applications of solving systems of equations?

**Tip:** Always isolate one variable if possible when solving by substitution—it simplifies the process significantly!

Where are we going to substitute into the bottom equation after finding the value of x?

Learn how to solve systems of equations using substitution. This example demonstrates substituting x in one equation with a given value from another equation, helping students understand a key algebraic concept. Suitable for Grades 7-9.

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