What is the solution to the system of equations -x + 3y = 6 and -10x – 3y = 27

To solve the system of equations provided, we start with:

1) (-x + 3y = 6)

2) (-10x – 3y = 27)

We can solve this system using substitution or elimination. Let’s use the elimination method for clarity:

First, we can add the two equations to eliminate (y):

[

(-x + 3y) + (-10x – 3y) = 6 + 27

]

This simplifies to:

[

-11x = 33

]

Now, we divide both sides by (-11):

[

x = -3

]

Next, we substitute (x = -3) back into the first equation to find (y):

[

-(-3) + 3y = 6

]

[

3 + 3y = 6

]

[

3y = 6 – 3

]

[

3y = 3

]

[

y = 1

]

Now, we have the solution (x = -3) and (y = 1).

However, based on your answer options, we might need to verify what the question is specifically asking for, but currently, we’ve determined that (y = 1).

Thus, the correct option from your list corresponding to (y) is:

c) 1