SOLUTION: 2x + 3y = 1 5x + 3y = 16 Dependant or incinsistant?

Algebra ->  Trigonometry-basics -> SOLUTION: 2x + 3y = 1 5x + 3y = 16 Dependant or incinsistant?      Log On


   

Question 103574: 2x + 3y = 1
5x + 3y = 16
Dependant or incinsistant?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.2x+%2B+3y+=+1
2.5x+%2B+3y+=+16
From (1),
2x%2B3y=1
3y=1-2x
From (2)
5x%2B3y=16
5x%2B%281-2x%29=16
3x%2B1=16
3x=15
highlight%28x=5%29
3y=1-2x
3y=1-2%285%29
3y=1-10
3y=-9
highlight%28y=-3%29
Check your answer.
1.2x+%2B+3y+=+1
2.5x+%2B+3y+=+16
2x+%2B+3y+=+1
2%285%29%2B3%28-3%29=1
10-9=-1
-1=-1Good answer.
5x+%2B+3y+=+16
5%285%29%2B3%28-3%29=16
25-9=16
16=16Good answer.
Neither, consistent with solution x=5, y=-3.