Answer:
1. The solution to question one = (2, -6)
2. The solution to question two = (-1, 7)
3. The solution to question three = (1, 12)
4. The solution to question four = (2, -12)
5. The solution to question five = (3, 12)
6. The solution to question six = (-3, 12)
7. The solution to question seven = (-2, -8)
8. The solution to question eight = (-3, 21)
9. The solution to question nine = (2, 16)
Explanation:
Steps to solve question 1:
Step 1: Substitute 5x for y in y = x - 8 and solve for y
1. (5x) = x - 8 → 4x = 8 → x = 2
Step 2: Plug 2 in for x in y = x - 8 and solve for x
2. y = (2) - 8 → y = -6
The solution to question one: (2, -6)
Steps to solve question 2:
Step 1: Substitute 3x for y in y = -x - 4 and solve for y
1. (3x) = -x - 4 → 4x = -4 → x = -1
Step 2: Plug -1 in for x in y = -x - 4 and solve for x
2. y = -(-1) - 8 → y = 7
The solution to question two: (-1, 7)
Steps to solve question 3:
Step 1: Substitute 12x for y in y = x + 11 and solve for y
1. (12x) = x + 11 → 11x = 11 → x = 1
Step 2: Plug 1 in for x in y = x + 11 and solve for x
2. y = (1) + 11 → y = 12
The solution to question three: (1, 12)
Steps to solve question 4:
Step 1: Substitute -6x for y in y = x - 14 and solve for y
1. (-6x) = x - 14 → -7x = -14 → x = 2
Step 2: Plug 2 in for x in y = x - 14 and solve for x
2. y = (2) - 14 → y = -12
The solution to question four: (2, -12)
Steps to solve question 5:
Step 1: Substitute 2x for y in y = -x + 9 and solve for y
1. (2x) = -x + 9 → 3x = 9 → x = 3
Step 2: Plug 3 in for x in y = -x + 9 and solve for x
2. y = (3) + 9 → y = 12
The solution to question five: (3, 12)
Steps to solve question 6:
Step 1: Substitute -4x for y in y = x + 15 and solve for y
1. (-4x) = x + 15 → -5x = 15 → x = -3
Step 2: Plug -3 in for x in y = x + 15 and solve for x
2. y = (-3) + 15 → y = 12
The solution to question six: (-3, 12)
Steps to solve question 7:
Step 1: Substitute 4x for y in y = -x - 10 and solve for y
1. (4x) = -x - 10 → 5x = -10 → x = -2
Step 2: Plug -2 in for x in y = -x - 10 and solve for x
2. y = -(-2) - 10 → y = -8
The solution to question seven: (-2, -8)
Steps to solve question 8:
Step 1: Substitute -7x for y in y = x + 24 and solve for y
1. (-7x) = x + 24 → -8x = 24 → x = -3
Step 2: Plug -3 in for x in y = x + 24 and solve for x
2. y = (-3) + 24 → y = 21
The solution to question eight: (-3, 21)
Steps to solve question 9:
Step 1: Substitute 8x for y in y = -x + 18 and solve for y
1. (8x) = -x + 18 → 9x = 18 → x = 2
Step 2: Plug 2 in for x in y = -x + 18 and solve for x
2. y = -(2) + 18 → y = 16
The solution to question nine: (2, 16)
Hope this helps you out :)