$\left\{\begin{array}{l}x+y=5 \\ x+150 y=9\end{array}\right.$

Step 1 ：\(\left\{\begin{array}{l}x+y=5 \\ x+150 y=9\end{array}\right.\)

Step 2 ：\(\text{Multiply the first equation by } -150:\)

Step 3 ：\(-150(x+y)=-750\)

Step 4 ：\(-150x-150y=-750\)

Step 5 ：\(\text{Add the new equation to the second equation:}\)

Step 6 ：\(-150x-150y+x+150y=-750+9\)

Step 7 ：\(-149x=-741\)

Step 8 ：\(x=\frac{741}{149}\)

Step 9 ：\(\text{Substitute the value of x into the first equation:}\)

Step 10 ：\(\frac{741}{149}+y=5\)

Step 11 ：\(y=5-\frac{741}{149}\)

Step 12 ：\(y=\frac{4}{149}\)

Step 13 ：\(\boxed{x=\frac{741}{149}, y=\frac{4}{149}}\)