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Answer on Linear Algebra Question for Omoregbe Frank

Question #8792
Solve the set of linear equations by the matrix method: a+3b+2c=3, 2a-b-3c= -8, 5a+2b+c=9. Solve for c.

(A) 3
(B) 1
(C) 5
(D) 7
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Comments

Assignment Expert
24.10.2013 12:31

2x+4y=10 (1)
3x+6y=15 (2)

Dividing the first one by two we obtain x+2y=5 whence x=5-2y
Now we substitute this expression into (2):
3(5-2y)+6y=15
Opening the braces we obtain:
15-6y+6y=15 which gives us 15=15 - right equality
Basicaly, such outcome means that our two equations are not independent. We can clearly see that if we divide (2) by 3: we obtain x+2y=5 which is teh same as (1) divided by 2. Actually, we have one distinct equation. Such system is called indefinite. We cannot uniquely calculate the solution. Instead such system has infinit number of solutions for which the equality x=5-2y holds.

abel
02.10.2013 05:27

Solve the linear equations 2x+4y=10 and 3x+6y=15

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