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

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

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