Question

what is the solution to this system of linear equations?
2x + y = 1
3x - y = -6
○ (-1, 3)
○ (1, -1)
○ (2, 3)
○ (5, 0)

Explanation:

Step1: Add the two equations

$$(2x + y) + (3x - y) = 1 + (-6)$$
$$5x = -5$$

Step2: Solve for x

$$x = \frac{-5}{5} = -1$$

Step3: Substitute x into first equation

$$2(-1) + y = 1$$
$$-2 + y = 1$$

Step4: Solve for y

$$y = 1 + 2 = 3$$

Answer:

A. (-1, 3)