8x + 8y = 16  y = 7 solve using substitution.

To solve the system of equations using substitution, follow these steps:

### Given:
1. \( 8x + 8y = 16 \)
2. \( y = 7 \)

### Step 1: Substitute \( y = 7 \) into the first equation.

Substitute \( y = 7 \) into the first equation \( 8x + 8y = 16 \):

\[
8x + 8(7) = 16
\]

### Step 2: Simplify and solve for \( x \).

\[
8x + 56 = 16
\]

Now, subtract 56 from both sides:

\[
8x = 16 - 56
\]

\[
8x = -40
\]

Now, divide both sides by 8:

\[
x = \frac{-40}{8}
\]

\[
x = -5
\]

### Final Solution:
- \( x = -5 \)
- \( y = 7 \)

### Answer:
The solution to the system of equations is \( x = -5 \) and \( y = 7 \).

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Would you like more details on this process, or do you have any questions?

### 5 Related Questions:
1. How would you solve this system of equations using the elimination method?
2. What is the geometric interpretation of the solution to this system?
3. Can you solve a similar system where both equations are non-linear?
4. What happens if you substitute different values for \( y \) before solving?
5. How do you verify the solution to a system of equations?

### Tip:
Always verify your solution by substituting both values back into the original equations to ensure they hold true.

8x + 8y = 16, y = 7 solve using substitution.

Learn how to solve the system of linear equations 8x + 8y = 16 and y = 7 using the substitution method. Follow a step-by-step solution that explains key algebraic concepts and methods for solving equations. This tutorial is perfect for students in Grades 8-10.

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