to solve the system of equations:
step 1: write down the equations
we have:
[
\begin{cases}
x - y = 0 \quad \text{(1)} \
x y = 2 \quad \text{(2)}
\end{cases}
]
step 2: eliminate (y) by adding the two equations
add equation (1) and equation (2):
[
(x - y) (x y) = 0 2 \
2x = 2 \
x = 1
]
step 3: find (y) using (x = 1)
substitute (x = 1) into equation (1):
[
1 - y = 0 \
y = 1
]
answer: (x = 1), (y = 1)
(\boxed{(1,1)})
作者声明:本文包含人工智能生成内容。
