solve the system of equations.\n-6x + 5y = -7\n6x - 2y = -8\nx = \n y =

Explanation:

Step1: Add the two equations

Adding -6x + 5y = -7 and 6x - 2y = -8 eliminates x. (-6x + 5y)+(6x - 2y)=-7+( - 8) 3y=-15

Step2: Solve for y

Divide both sides of 3y = - 15 by 3. y = \frac{-15}{3}=-5

Step3: Substitute y into an equation

Substitute y = - 5 into 6x - 2y = - 8. 6x-2\times(-5)=-8 6x + 10=-8

Step4: Solve for x

Subtract 10 from both sides: 6x=-8 - 10=-18. Then divide both sides by 6: x=\frac{-18}{6}=-3

Answer:

x = - 3, y = - 5