What os the solution of the system using elimination 2x+5y=17 6x-5y=-9

Answer:2x-5y=17; 6x-5y=-9

Step-by-step explanation:

Solve equation [2] for the variable x

[2] 6x = 5y - 9

[2] x = 5y/6 - 3/2

/ / Plug this in for variable x in equation [1]

[1] 2• (5y/6-3/2) - 5y = 17

[1] - 10y/3 = 20

[1] - 10y = 60

/ / Solve equation [1] for the variable y

[1] 10y = - 60

[1] y = - 6

/ / By now we know this much:

x = 5y/6-3/2

y = - 6

/ / Use the y value to solve for x

x = (5/6) (-6) - 3/2 = - 13/2