If $2 x+y=17 ; y+2 z=15$ and $x+y=9$, then what is the value of $4 x+3 y+z$ ?
(a)41
(b)43
(c)45
(d)55
(e)None of these
Answer
Answer (as printed): E
Explanation
$2 x+y=17$ $$y+2 z=15$$ and $x+y=9$ Subtracting (iii) from (i), we get: $x=8$. Putting $x=8$ in (i), we get: $y=1$. Putting $y=1$ in (ii), we get: $2 z=14$ or $z=7$. $$\therefore \quad 4 x+3 y+z=4 \times 8+3 \times 1+7=42 .$$
Explanation as extracted from the printed page; notation may be imperfect.