## Exam-Style Question on Simultaneous Equations## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 547. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

Solve algebraically the simultaneous equations to find the solution where \(-10 \le x \le 10\).

$$ 3x^2 - y^2 = 11 $$ $$ 5x + 3y = 27 $$
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