Solve systems of equations using substitution to complete the maze and find the correct path from start to finish.

Let’s solve this maze step by step using substitution. We start at the “Start” box and follow the correct answer to the next box until we reach “Finish”.

---

Step 1: Start Box
Equations:
> x = -2y
> 4x + 3y = 10

Substitute x = -2y into the second equation:

4(-2y) + 3y = 10
→ -8y + 3y = 10
→ -5y = 10
→ y = -2

Now plug y = -2 into x = -2y:
x = -2(-2) = 4

✔ Solution: (4, -2) → Go to the box labeled (4, -2)

---

Step 2: Box with (4, -2)
Equations:
> y = 4x + 15
> -5x - y = 3

Substitute y = 4x + 15 into the second equation:

-5x - (4x + 15) = 3
→ -5x - 4x - 15 = 3
→ -9x - 15 = 3
→ -9x = 18
→ x = -2

Now plug x = -2 into y = 4x + 15:
y = 4(-2) + 15 = -8 + 15 = 7

✔ Solution: (-2, 7) → Go to the box labeled (-2, 7)

---

Step 3: Box with (-2, 7)
Equations:
> -2x + y = 12
> y = -5x - 9

Substitute y = -5x - 9 into the first equation:

-2x + (-5x - 9) = 12
→ -2x -5x -9 = 12
→ -7x -9 = 12
→ -7x = 21
→ x = -3

Now plug x = -3 into y = -5x - 9:
y = -5(-3) - 9 = 15 - 9 = 6

✔ Solution: (-3, 6) → Go to the box labeled (-3, 6)

---

Step 4: Box with (-3, 6)
Equations:
> y = 3x - 10
> 3x + 4y = 5

Substitute y = 3x - 10 into the second equation:

3x + 4(3x - 10) = 5
→ 3x + 12x - 40 = 5
→ 15x - 40 = 5
→ 15x = 45
→ x = 3

Now plug x = 3 into y = 3x - 10:
y = 3(3) - 10 = 9 - 10 = -1

✔ Solution: (3, -1) → Go to the box labeled (3, -1)

---

Step 5: Box with (3, -1)
Equations:
> x = 5y + 4
> 3x - 2y = -14

Substitute x = 5y + 4 into the second equation:

3(5y + 4) - 2y = -14
→ 15y + 12 - 2y = -14
→ 13y + 12 = -14
→ 13y = -26
→ y = -2

Now plug y = -2 into x = 5y + 4:
x = 5(-2) + 4 = -10 + 4 = -6

✔ Solution: (-6, -2) → Go to the box labeled (-6, -2)

---

Step 6: Box with (-6, -2)
Equations:
> x = -y - 5
> x = 2y - 2

Set them equal since both equal x:

-y - 5 = 2y - 2
→ -5 + 2 = 2y + y
→ -3 = 3y
→ y = -1

Now plug y = -1 into x = -y - 5:
x = -(-1) - 5 = 1 - 5 = -4

✔ Solution: (-4, -1) → Go to the box labeled (-4, -1)

---

That leads us to the Finish box!

---

Final Answer:
The path is:
Start → (4, -2) → (-2, 7) → (-3, 6) → (3, -1) → (-6, -2) → (-4, -1) → Finish