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Question

Show that there is no solution for the equations
x+4y2z=3
3x+y+5z=7
2x+3y+z=5.

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Solution

(a) Here =∣ ∣142315231∣ ∣

=1(115)3(4+6)+2(20+2)
= 1430+44=0
And x=∣ ∣342715531∣ ∣=3(115)7(4+6)+5(20+2)=20
Since =0 and x0, the equations are not consistent and hence there is no solution of the given system of equations.

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