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

Adding (2x + y=1) and (3x - y=-6) eliminates (y). ((2x + y)+(3x - y)=1+( - 6)) (2x+3x+y - y=1 - 6) (5x=-5)

Step2: Solve for (x)

Divide both sides of (5x = - 5) by 5. (x=\frac{-5}{5}=-1)

Step3: Substitute (x = - 1) into the first - equation

Substitute (x=-1) into (2x + y = 1). (2\times(-1)+y = 1) (-2 + y=1)

Step4: Solve for (y)

Add 2 to both sides of (-2 + y = 1). (y=1 + 2=3)

Answer:

A. ((-1,3))