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Question

Solve the following equations using Cramer's Rule
2xy+3z=9,x+y+z=6,xy+z=2

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Solution

Δ=∣ ∣213111111∣ ∣=2(1+1)(1)(11)+3(2)=46=2

Now, Δx=∣ ∣913611211∣ ∣=14Δy=∣ ∣293161121∣ ∣=2Δz=∣ ∣219116112∣ ∣=6

So,According to Cramer's Rule x=ΔxΔ=142=7y=ΔyΔ=22=1z=ΔzΔ=62=3

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