https://file.aiquickdraw.com/mathbot/file/1729517580446a5866x6f.jpg

The image shows a system of two equations:

1. \( y = -2x + 7 \)
2. \( y = 5 \)

To solve this system, we can substitute \( y = 5 \) into the first equation.

Starting with the first equation:
\[
y = -2x + 7
\]

Substitute \( y = 5 \):
\[
5 = -2x + 7
\]

Now, solve for \( x \):

\[
5 - 7 = -2x
\]
\[
-2 = -2x
\]
\[
x = 1
\]

Thus, the solution to the system is:
\[
x = 1, \quad y = 5
\]

Would you like further details or explanations on this? 

Here are five related questions to expand on this topic:

1. How would the graph of the two equations look like, and where would they intersect?
2. How can we check if the solution \( x = 1 \), \( y = 5 \) is correct?
3. What are other methods to solve systems of equations besides substitution?
4. What happens when two lines have no solution or infinitely many solutions?
5. How can we use matrices to solve a system of linear equations?

**Tip**: Always double-check your solution by substituting both values into the original equations.

Solve the system of equations: y = -2x + 7 and y = 5

Learn how to solve the system of linear equations y = -2x + 7 and y = 5 using the substitution method. This problem is ideal for students in Grades 8-10, covering algebraic concepts and step-by-step solutions.

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