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AMO 2027 Grades 8-9 SET 15 - Self-study Question 4

AMO · AMO 2027 Grades 8-9 SET 15 - Self-study

Question 4

Example 4. Solve the systems of equations:

(a) $\begin{cases}2x+y=3\\x-y=6\end{cases}$

(b) $\begin{cases}x-y=3\\3x-4y=2\end{cases}$

(c) $\begin{cases}3x-2y=11\\4x-5y=3\end{cases}$

(d) $\begin{cases}\frac{x}{3}-\frac{y}{2}=1\\5x-8y=3\end{cases}$

**Editorial input convention:** Enter all four ordered pairs (x,y) in part order a,b,c,d. Use parentheses, a comma inside each pair, and semicolons between pairs, with no spaces anywhere. Format example, not the answer: (1,2);(3,4);(5,6);(7,8).