Chapter 11: Q. 45 (page 714)

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$x - y - z = 1 2 x + 3 y + z = 2 3 x + 2 y = 0$

Short Answer

Expert verified

The system is inconsistent

Step by step solution

Given information

We are given a system of equation as

$x - y - z = 1 (1) 2 x + 3 y + z = 2 (2) 3 x + 2 y = 0 (3)$

Add equation 1 and 2

We get,

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

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

As same equation cannot have different values

Hence the system is inconsisitent

Conclusion

The given system of equation is inconsistant

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Solve each system of equations. If the system has no solution, say that it is inconsistent.
$x - y - z = 1 2 x + 3 y + z = 2 3 x + 2 y = 0$

Short Answer

Step by step solution

Given information

Add equation 1 and 2

Conclusion

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Solve each system of equations. If the system has no solution, say that it is inconsistent.x-y-z=12x+3y+z=23x+2y=0

Short Answer

Step by step solution

Given information

Add equation 1 and 2

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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Solve each system of equations. If the system has no solution, say that it is inconsistent.
$x - y - z = 1 2 x + 3 y + z = 2 3 x + 2 y = 0$