Solve by the substitution method.
x - y = -6
5x + 6y = -63
what is the solution of the system? select the correct choice below and fill in the answer box within your choice.
a. the unique solution to the system is (type an ordered pair.)
b. there are an infinite number of solutions.
c. there is no solution.

The unique solution to the system is (x,y){(-9,-3)}

Step-by-step explanation:

x - y = -6     equation 1

5x + 6y = -63     equation 2

We will find the value of x from equation 1.

x= y-6

Now put the value of x in equation 2.

5(y-6)+6y = -63

5y-30+6y = -63

Combine the like terms:

5y+6y= -63+30

11y = -33

Divide both sides by 11.

11y/11 = -33/11

y = -3

Now put the value y = -3 in x=y-6

x = y-6

x= -3-6

x= -9

Therefore The unique solution to the system is (x,y){(-9,-3)}

A. The unique solution to the system is

Step-by-step explanation:

You can follow these steps to solve the system of equation by the Substitution Method:

- Solve for "x" from the first equation:

- Substitute into the second equation and solve for "y":

- Sustitute the value of "y" into to find the value of "x":

Therefore, the unique solution to the system is: