what i need answered

Question

Solve the system -8x -10y = 24 and 6x + 5y = 2. Write your answer as a coordinate point

Answer 1

-8x -10y = 24

2(6x + 5y = 2)

-8x - 10y = 24

12x + 10y = 4

4x = 28

x = 7

6(7) + 5y = 2

42 + 5y = 2

5y = -40

y = -40/5

y = -8

(7,-8)

Answer 2

Divides first equation by -2:

4x + 5y = -12

6x + 5y = 2

Subtracts bottom equation MINUS top equation:

2x = 14

x = 7

Substitutes into the original system:

4(7) + 5y = -12 ---> 28 + 5y = -12 ---> 5y = -40 --> y = -8

6(7) + 5y = 2 --> 42 + 5y = 2 --> 5y = -40 --> y = -8

(7,-8) is the solution