Question

PLEASE HELP!!!!!!!

Choose the ordered pair that is a solution to the system of equations. y - x = 5 2y+x=-2

A. (-4,-1)
B. (-1,-4)
C. (-4, 1)
D. (4, -1)

Answer 1

C

Answer 2

1--4=5 and 2(1)+-4=-2

Answer 3

y-x = 5
2y + x = -2
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multiply top line by -2 to get:
-2y +2x = -10
2y + x = -2
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0 +3x = -12
x = -4

substituting x in the first equation (i.e. y- x =5) we get:

y - (-4) = 5
y + 4 = 5
y = 5 -4
y = 1

therefore solution is: (-4, 1) which is C