Question

1. what is the solution to this system of equations?

-3x + 5y = 21
6x - y = -15
options: (2,27), (-2,3), (2,0), (-3,-3)

Explanation:

Step1: Solve the second equation for y

From \(6x - y = -15\), we can rewrite it as \(y = 6x + 15\).

Step2: Substitute y into the first equation

Substitute \(y = 6x + 15\) into \(-3x + 5y = 21\):

$$
LATEXBLOCK0
$$

Step3: Find y using x = -2

Substitute \(x = -2\) into \(y = 6x + 15\):
\(y = 6(-2) + 15 = -12 + 15 = 3\)

Answer:

B. \((-2, 3)\)