It is given that $y=3 x-5$ and $z=3 x+3$. If $y=1$, the value of $z$ is
(A) 8
(B) 6
(C) -3
(D) 3
(E) 9

## Part B: Each correct answer is worth 6.
Solution 1

Since $y=3 x-5$ and $z=3 x+3$, then $z-y=(3 x+3)-(3 x-5)=8$, ie. $z$ is 8 more than $y$. Since $y=1$, then $z=9$.

## Solution 2

Since $y=3 x-5$ and $y=1$, then $3 x-5=1$ or $x=2$.

Since $x=2$, then $z=3(2)+3=9$.

Answer: (E)