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Chapter 11: Q. 41 (page 714)

solve each system of equations. If the system has no solution, say that it is inconsistent.

x-y=62x-3z=162y+z=4

Short Answer

Expert verified

The solution of the equation isx=8y=2z=0

Step by step solution

01

Given information

We are given

x-y=62x-3z=162y+z=4

02

Now multiply equation 1 by 2 and subtract from equation 3

We get,

2x-2y=12

Now we add this in equation 3 we get,

2x-2y=12+2y+z=42x+z=16

03

Now we subtract equation from 2, 

We get,

2x+z=16-2x+3z=164z=0

Hencez=0

04

Now substitute the value of z to find the value of x and y

We get,

2x-3z=162x=16x=8

Now we find the values of y

2y+z=42y=4y=2

05

Conclusion

The solution of system of equation is

x=8y=2z=0

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Most popular questions from this chapter

Graph each inequality by hand.

x2+y2鈮�9

The length of fence required to enclose a rectangular field is 3000 meters. What are the dimensions of the field if it is known that the difference between its length and width is 50 meters?

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x+y=8x-y=4

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