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What is the x-value of the solution to the linear system below?

To solve the linear system given in the image:

\[
y = 2x + 5 \tag{1}
\]
\[
3x - y = -4 \tag{2}
\]

We can use substitution since equation (1) already expresses \( y \) in terms of \( x \). Here's the step-by-step solution:

1. Substitute \( y = 2x + 5 \) from equation (1) into equation (2):
   \[
   3x - (2x + 5) = -4
   \]

2. Distribute the negative sign:
   \[
   3x - 2x - 5 = -4
   \]

3. Simplify the equation:
   \[
   x - 5 = -4
   \]

4. Solve for \( x \):
   \[
   x = -4 + 5 = 1
   \]

Thus, the \( x \)-value of the solution is \( \boxed{1} \).

Let me know if you'd like further details or have any questions. Here are some related questions:

1. How do you solve a system of equations using the substitution method?
2. What is the elimination method for solving systems of equations?
3. How can you verify the solution to a system of linear equations?
4. What are the advantages of substitution over other methods in certain cases?
5. Can all systems of linear equations be solved using substitution?

**Tip**: Always check your solution by substituting the values back into the original equations!

What is the x-value of the solution to the linear system below? y = 2x + 5, 3x - y = -4

Learn how to solve the linear system of equations y = 2x + 5 and 3x - y = -4 using the substitution method. This step-by-step solution involves solving for x and checking the results, ideal for students in Grades 8-10.

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