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The multipliers of this system of equations have been determined to create opposite terms of the x-variable.

12 (-1/6x -2/3y = -5) -2 x + 8 y =-60.
5 (2/5 x + 1/5 y = -9) 2 x + y = - 45

What is the value of y?
–30
–15
15
30

Respuesta :

Answer:

15

Step-by-step explanation:

The given equation is

[tex]12( - \frac{1}{6}x - \frac{2}{3}y = - 5)[/tex]

[tex]5( \frac{2}{5} x + \frac{1}{5} y = - 9)[/tex]

When we multiply we obtain the equations:

[tex] - 2x - 8y = - 60[/tex]

[tex]2x + y = - 45[/tex]

We add both equations to obtain:

[tex] - 7y = - 105[/tex]

Divide both sides by -7 to get:

[tex]y = \frac{105}{7} = 15[/tex]

Answer:

15 ye

Step-by-step explanation: