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Chapter 4: Q 182. (page 432)

Solve the system of equations,

4x-3y+2z=0-2x+3y-7z=12x-2y+3z=6

Short Answer

Expert verified

The system of equations has no solution.

Step by step solution

01

Step 1. Given the information.

The system of equations is,

4x-3y+2z=0............(1)-2x+3y-7z=1.........(2)2x-2y+3z=6............(3)

02

Step 2. Eliminating x from equations (1) and (2).

Eliminating xfrom equations (1) and (2).

4x-3y+2z=0.........(1)-4x+6y-14z=2....(2)脳2

Solving the equations we get,

role="math" localid="1644563835774" 3y-12z=2........(4)

03

Step 3. Eliminating x from the equations (2) and (3).

Eliminating xfrom equations (2) and (3).

-2x+3y-7z=1......(2)2x-2y+3z=6........(3)

Solving the equations we get,

y-4z=7........(5)

04

Step 4. Finding the value of z.

Solving equations (4) and (5),

3y-12z=2...........(4)3y-12z=21............(5)脳3

Subtracting the equations we get,

0=-19

The system of equations has no solution.

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