Question

Tìm a,b biết:

a+b=100

a-b=36

Answer 1

\(\Rightarrow a+b+a-b=100+36\)

\(\Rightarrow2a=136\)

\(\Rightarrow a=68\)

\(\Rightarrow b=100-68=32\)

Answer 2

\(\left\{{}\begin{matrix}a+b=100\\a-b=36\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=100-b\\a-b=36\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}a=100-b\\100-b-b=36\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=100-b\\2b=64\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}a=100-b\\b=32\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=68\\b=32\end{matrix}\right.\)