What is the solution to the linear system of equations?
x + 4y = –8
x – y = 7

A.

(4, –3)

B.
(4, 3)

C.
(7, 0)

D.
The system has no solution.

Question

What is the solution to the linear system of equations?
x + 4y = –8
x – y = 7

	
	
 
A.
	

(4, –3)
	
 
B.
	(4, 3)
	
 
C.
	(7, 0)
	
 
D.
	The system has no solution.

anonymous · Answer

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anonymous · Answer

By rewriting eq.2:
$$y = x - 7$$
and by plugging this expression into eq.1 we get:
$$x +4*(x-7) = -8$$
and the solution is:
$$x = 4; y = -3$$
so the answer is a) (4;-3)

anonymous · Answer

and the above result fits in exactly with the graph (it's the coordinates of the intersection of the two lines)

anonymous · Answer

oh ok. i get it now. thx so much.