Solve the system by substitution.
y, equals, minus, 8, x, minus, 24
y=
−8x−24
y, equals, minus, 4, x
y=
−4x

We are given a system of two equations:

1. \( y = -8x - 24 \)
2. \( y = -4x \)

To solve this system by substitution, we can substitute the second equation \( y = -4x \) into the first equation where \( y \) appears:

### Step 1: Substitute \( y = -4x \) into \( y = -8x - 24 \)
\[
-4x = -8x - 24
\]

### Step 2: Solve for \( x \)
Add \( 8x \) to both sides:
\[
-4x + 8x = -24
\]
\[
4x = -24
\]
Divide both sides by 4:
\[
x = -6
\]

### Step 3: Substitute \( x = -6 \) into \( y = -4x \) to find \( y \)
\[
y = -4(-6) = 24
\]

### Final Solution:
The solution to the system is \( x = -6 \) and \( y = 24 \).

Do you need any further details or have any questions?

Here are 5 related questions for practice:
1. Solve the system: \( y = 3x + 7 \) and \( y = -2x - 3 \).
2. Solve by substitution: \( y = 5x - 10 \) and \( y = 2x + 3 \).
3. Find the solution: \( y = -7x + 4 \) and \( y = 2x - 1 \).
4. What happens if you solve \( y = 6x - 1 \) and \( y = 6x + 3 \)?
5. Can you solve the system: \( y = 4x + 5 \) and \( y = -3x + 9 \)?

**Tip**: When using substitution, always isolate one variable first to make the process easier.

Solve the system by substitution.
y = -8x - 24
y = -4x

Learn how to solve the system of linear equations y = -8x - 24 and y = -4x using the substitution method. This problem covers key algebraic concepts and step-by-step instructions on finding the solution to the system. Suitable for students in Grades 8-10.

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