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Chapter 3: Q3. (page 142)

Give an example of a system of three equations in three variables that has-3,5,2as a solution. Show that the ordered triple satisfies all three equations.

Short Answer

Expert verified

The three equations in three variables are

x+y+z=4x+2y+3z=132x+3y+z=11

Step by step solution

01

Step-1 –Satisfying the equations x+y+z

The given solution is-3,5,2

x+y+z=鈭�3+5+2=2+2=4

So,x+y+z=4.

02

Step-2 –Satisfying the equations x+2y+3z

The given solution is-3,5,2

x+2y+3z=鈭�3+2(5)+3(2)=鈭�3+10+6=7+6=13

So, x+2y+3z=13.

03

Step-3 –Satisfying the equations 2x+3y+z

The given solution is-3,5,2

localid="1648724175920" 2x+3y+z=2(鈭�3)+3(5)+2=鈭�6+15+2=9+2=11.

So, 2x+3y+z=11.

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