EXEMPLARY QUESTION TYPES
9.
\(\left.\begin{aligned}x-z=8\\x\cdot y=64\\y\cdot z=24\end{aligned}\right\}\)
\(\Rightarrow y=?\)
10.
\(x,y,z\in\mathbb R^+\)
\(\left.\begin{aligned}x\cdot y=12\\y\cdot z=30\\x\cdot z=20\end{aligned}\right\}\)
\(\Rightarrow y=?\)
11.
\(x,y,z\in\mathbb R^+\)
\(\left.\begin{aligned}x\cdot y=\samefrac14\\y\cdot z=\samefrac2{15}\\x\cdot z=\samefrac3{10}\end{aligned}\right\}\)
\(\Rightarrow y=?\)
12.
\(\left.\begin{aligned}a+b=12\\b+c=8\\c+a=10\end{aligned}\right\}\)
\(\Rightarrow a=?\)
13.
\(a-b=23\)
\(b+c=9\)
\(c-d=6\)
\(\Rightarrow a-2b+2c+d=?\)
14.
\(\samefrac{x+y}x=6\)
\(\samefrac{z-x}x=3\)
\(x+y+z=50\)
\(\Rightarrow z=?\)
15.
\(a,b,c\in\mathbb Z^+\)
\(2a-3b=13\)
\(a-c=4\)
\(4c+3b=37\)
\(\Rightarrow a=?\)
16.
\(\left.\begin{aligned}\samefrac{x\cdot y}{x+y}=\samefrac17\\\samefrac{y\cdot z}{y+z}=\samefrac19\\\samefrac{x\cdot z}{x+z}=\samefrac14\end{aligned}\right\}\)
\(\Rightarrow x=?\)