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Question

5x − 7y + z = 11
6x − 8y − z = 15
3x + 2y − 6z = 7

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Solution

Given: 5x − 7y + z = 11
6x − 8y − z = 15
3x + 2y − 6z = 7

D=5-716-8-132-6=5(48+2)+7(-36+3)+1(12+24)=5(50)+7(-33)+1(36)=55D1=11-7115-8-172-6=11(48+2)+7(-90+7)+1(30+56)=11(50)+7(-83)+1(86)=55D2=5111615-137-6=5(-90+7)-11(-36+3)+1(42-45)=5(-83)-11(-33)+1(-3)=-55D3=5-7116-815327=5(-56-30)+7(42-45)+11(12+24)=5(-86)+7(-3)+11(36)=-55Now,x=D1D=5555=1y=D2D=-5555=-1z=D3D=-5555=-1 x=1, y=-1 and z=-1

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