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Test the consistency of the following system of equations and solve if possible

$3x + 3y +2z = 1$

$x + 2y = 4$

$10y + 3z = -2$

$2x - 3y -z = 5$
in Linear Algebra by Boss (36.5k points) | 100 views
answer consistent?
unique solution :hence consistent.

arvin and srestha what solutions you got? mine are not matching the answer

i did it using augmented matrix form... and than using reduced row echelon method.. which gave rank(a) =rank(a|b)= 3(no. of variable) = so i found that its consistent and has unique solution..
what is given ans?

1 Answer

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"If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent ."





We can write it as




and solve them inividually

So, it will be consistent solution

by Veteran (119k points)
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