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.