solve the following system of equations.\n3x + 5y = -6\n-3x + 2y = 27\nx = \ny =

Explanation:

Step1: Add the two equations.

Adding (3x + 5y=-6) and (-3x + 2y = 27) eliminates (x): ((3x+5y)+(-3x + 2y)=-6 + 27) (3x+5y-3x + 2y=21) (7y=21)

Step2: Solve for (y).

Divide both sides of (7y = 21) by 7: (y=\frac{21}{7}=3)

Step3: Substitute (y = 3) into the first - equation.

Substitute (y = 3) into (3x+5y=-6): (3x+5\times3=-6) (3x + 15=-6)

Step4: Solve for (x).

Subtract 15 from both sides: (3x=-6 - 15=-21) Divide both sides by 3: (x=\frac{-21}{3}=-7)

Answer:

(x=-7), (y = 3)