| Exam Board | Edexcel |
|---|
| Module | C1 (Core Mathematics 1) |
|---|
| Topic | Simultaneous equations |
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3. (a) Given that \(3 ^ { x } = 9 ^ { y - 1 }\), show that \(x = 2 y - 2\).
(b) Solve the simultaneous equations
$$\begin{aligned}
& x = 2 y - 2
& x ^ { 2 } = y ^ { 2 } + 7
\end{aligned}$$