What is the solution to this system of equations? −3x+5y=21-3⁢𝑥+5⁢𝑦=216x−y=−156⁢𝑥-𝑦=-15 A. (2,27)(2,27) B. (−2,3)(-2,3) C. (2,0)(2,0) D. (−3,−3)

To solve this system of equations, we can use the method of substitution or elimination. Here, I'll use the elimination method.

The system of equations is:

-3x + 5y = 21 6x - y = -15

First, we can multiply the second equation by 5 to make the coefficients of y the same in both equations:

30x - 5y = -75

Now, we have:

-3x + 5y = 21 30x - 5y = -75

We can add these two equations together:

27x = -54

Then, divide both sides by 27 to solve for x:

x = -54 / 27 = -2

Substitute x = -2 into the second equation:

6*(-2) - y = -15 -12 - y = -15 y = 12 - 15 = 3

So, the solution to the system of equations is x = -2 and y = 3. Therefore, the correct answer is B. (-2,3).