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Linear Algebra With Applications
Found in: Page 5
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

In exercises, 1 through 10, findall solutions of the linear systems using elimination.T hen check your solutions.


The solution of system of equation is x=-9,y=5,z=0

See the step by step solution

Step by Step Solution

Step 1:Transforming the system

To get the solution, we will transform the value of x,y,z.

x+2y+3z=1 ......12x+4y+7z=2 ......23x+7y+11z=8 ......3Into the form x=....y=....z=...

Step 2: Eliminating the variables

In the given system of equations, we can eliminate the variables by adding or subtracting the equations.

In this system, we can eliminate the variable x from equation 2 and 3. First of all subtract the 2 times of equation 1 from equation 2 and then subtract the 3 times of first equation from equation 3.


Now put the value of z which is in second equation to the first and second equation.


Hence, we get value of x=-9,y=5,z=0

Step 3: Checking the solution

Now check the solution by putting the value of x, y and z in the given system of equation.

-9+2(5)+3(0)=1 2(-9)+4(5)+7(0)=23(-9)+7(5)+11(0)=8

Which is true.

Hence, the solution of system of equation is x=-9,y=5,z=0


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