Question

Solve the system x=3y+9 9-x=-3y

a) no solution
b) infinite solutions
c) (3,-1)
d) (0,3)

Answer 1

I believe I did this correctly. Comment to tell me if I didn't.

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I got infinite solutions.

For the second problem, I subtracted 9 from both sides. Then I divided them all by -1. They are the same equations.

Answer 2

b) infinite solutions

Step-by-step explanation

The given system is:

x=3y+9 ...(1)

9-x=-3y...(2)

Put equation (1) into equation (2)

This implies that,

9-(3y+9)=-3y

Expand the parenthesis,

9-3y-9=-3y

-3y=-3y

1=1

This implies that, that the system has infinitely many solutions.