Quantitative Aptitude :: Simplification - Discussion

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Explanation:
Given:
x-y+z=19 -----(1)
y+z=20-----(2)
x-z=3-------(3)
By solving eq (1) & (2)
x-y-2z=-17-------(4)
By solving eq. (2) & (4)
z=12.
put the value of z in eq (2)
y=8
Similarly x=15

Put the value of x, y and z
x+4y-5z=15+32-60=-13.