Please help me
Questions attached.
30 points!!

1. (-2,3)

2. (1.5,-4)

3. (1, -7)

4. (-15/9,33/9)

5. (-2,-1)

6. (-18/11,92/11)

7. (1,-3)

8. (8,8)

Step-by-step explanation:

1. y = -3x - 3 = 7x + 17

7x + 3x = -3 - 17

10x = - 20

x = -2

y = -3x - 3 = -3(-2) - 3 =6 - 3 = 3

2. y = -4x + 2

- 8x - 4y = -8 => y = (8x - 8)/4 = 2x - 2

so -4x + 2 = 2x - 2

2x + 4x = 2 + 2

6x = 4

x = 1.5

y = -4x + 2 = -4(1.5) + 2 = -4

3. y = 7x - 14 and y = -7x

7x - 14 = -7x

7x + 7x = 14

14x = 14

x = 1

y = -7(1) = -7

4. y = 2x + 7 and y = 7x + 22

so 2x + 7 = 7x + 22

7x - 2x = 7 - 22

9x = -15

x = -15/9

y = 2(-15/9) + 7 = -30/9 + 7 = 33/9

5. y = -2x - 5 and -8x + 2y = 14 => y = (8x + 14)/2 = 4x + 7

so -2x - 5 = 4x + 7

4x + 2x = -5 - 7

6x = -12

x = -2

y = 4(-2) + 7 = -8 + 7 = -1

6. -2x - 7y = 16 => 7y = 2x + 16 => y = (2x + 16)/7

y = -6x - 8

so -6x - 8 = (2x + 16)/7

-42x - 56 = 2x + 16

2x + 42x = - 56 - 16

44x = - 72

x = -72/44 = -18/11

y = -6x - 8 = -6(-18/11) - 8 = 180/11 - 88/11 = 92/11

7. x - 7y = - 10 => x = 7y - 10

- x + 5y = 8 => x = 5y - 8

so 7y - 10 = 5y - 8

7y - 5y = 10 - 8

2y = 2

y = 1

- x + 5(1) = 8

x = 5 - 8 = -3

8. - x + 4y = 24 => y = (x + 24)/4

-2x + y = -8 => y = 2x - 8

so (x + 24)/4 = 2x - 8

x + 24 = 8x - 32

8x - x = 24 + 32

7x = 56

x = 8

y = 2x - 8 = 2(8) - 8 = 16 - 8 = 8

I hope I got all the answers correct. Let me know if I missed anything

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents