
{		𝑥 + 25 = 𝑦 2𝑥 = 𝑦 − 15


Let's solve the system of equations:

1. \( x + 25 = y \)
2. \( 2x = y - 15 \)

### Step 1: Express \( y \) in terms of \( x \)
From the first equation:
\[
y = x + 25
\]

### Step 2: Substitute \( y \) into the second equation
Substitute \( y = x + 25 \) into the second equation:
\[
2x = (x + 25) - 15
\]

### Step 3: Simplify and solve for \( x \)
Simplify the equation:
\[
2x = x + 10
\]
Subtract \( x \) from both sides:
\[
x = 10
\]

### Step 4: Solve for \( y \)
Now that \( x = 10 \), substitute it back into the first equation to find \( y \):
\[
y = 10 + 25 = 35
\]

### Solution
The solution to the system of equations is:
\[
x = 10, \quad y = 35
\]

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you solve a system of equations by substitution?
2. What are other methods to solve a system of linear equations?
3. How can you verify the solution to a system of equations?
4. What is the graphical interpretation of the solution to a system of equations?
5. How does the number of solutions change with different types of systems (e.g., inconsistent, dependent)?

**Tip:** Always check your solution by substituting it back into the original equations to ensure it satisfies both.

Learn how to solve the system of equations x + 25 = y and 2x = y - 15 step-by-step. This problem involves using the substitution method to find the values of x and y. Suitable for high school students learning algebraic methods for solving linear equations.

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