What is the solution to this system of linear equations? 2x + y = 1 3x – y = –6 a. no solution b. infinitely many solutions c. (-16,6) d. (-16,-2)

Equations:
2x+y=1 (1)
3x-y=-6(2)

The two equations have different slopes -2, 3, so there is a unique solution.

Add (1) & (2)
2x+3x = -5 => x=-1
Substitute x=-1 
into (1) : 2(-1)+y=1 => y=3
into (2) : 3(-1)-y = -6 => y=3   checks.
=>
The solution is (-1,3).

Note: None of the above answer choices fit, so please check for typos.

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