Solve the following system of linear equations by Cramers rule: `x+y=5,\ \ y+z=3,\ \ x+z=4`

Explanation

We have given:`x+y=5,\ \ y+z=3,\ \ x+z=4`

As we know that the system of linear equation can be written in matrix form as `AX = B`

`implies A=|(1,1,0),(0,1,1),(1,0,1)|`,`X=[(x),(y),(z)]`,`B=[(5),(3),(4)]`

Now find the determinant of `A`,

`|A|= |(1,1,0),(0,1,1),(1,0,1)|`

`|A|=1(1)-1(-1)+0(-1)`

`|A|=1+1+0`

`|A|=Delta=2`

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