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Answers without the blur. Sign up and see all textbooks for free! Q. 45

Expert-verified Found in: Page 714 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # Solve each system of equations. If the system has no solution, say that it is inconsistent.$x-y-z=1\phantom{\rule{0ex}{0ex}}2x+3y+z=2\phantom{\rule{0ex}{0ex}}3x+2y=0$

The system is inconsistent

See the step by step solution

## Step 1: Given information

We are given a system of equation as

$x-y-z=1\left(1\right)\phantom{\rule{0ex}{0ex}}2x+3y+z=2\left(2\right)\phantom{\rule{0ex}{0ex}}3x+2y=0\left(3\right)$

## Step 2: Add equation 1 and 2

We get,

$x-y-z=1+2z+3y+z=23x+2y=3$

But from equation 3 we have $3x+2y=0$

As same equation cannot have different values

Hence the system is inconsisitent

## Step 3: Conclusion

The given system of equation is inconsistant ### Want to see more solutions like these? 