Using Cramer's Rule, what is the value of x in the solution to the system of equations below?

-X-3y = - 3

-2x-5y=-8

The answer is : X=9 y=-2

Answer: X=9 AND Y = - 2

Step-by-step explanation:

Step: Solve-x-3y=-3for x:

-x-3y=-3

-x-3y+3y=-3+3y (Add 3y to both sides)

-x=3y-3

-x

-1

=

3y-3

-1

(Divide both sides by - 1)

x=-3y+3

Step: Substitute-3y+3forxin-2x-5y=-8:

-2x-5y=-8

-2 (-3y+3) - 5y=-8

y-6=-8 (Simplify both sides of the equation)

y-6+6=-8+6 (Add 6 to both sides)

y=-2

Step: Substitute-2foryinx=-3y+3:

x=-3y+3

x = (-3) (-2) + 3

x=9 (Simplify both sides of the equation)