Question

Solve by the substitution method. 4x + Gy= - 82 What is the solution of the system? Select the correct choice below and fill in the answer box within your choice. O A. The unique solution to the system is (Type an ordered pair.) o B. There are an infinite number of solutions. o C. There is no solution.

Answer 1

we have the system

x-y=-1 -------> x=y-1 -------> equation A

4x+9y=-82 -------> equation B

substitute equation A in equation B

so

4(y-1)+9y=-82

solve for y

4y-4+9y=-82

13y=-82+4

13y=-78

y=-6

Find the value of x

x=y-1

x=-6-1

x=-7

therefore

option A (-7,-6)