From the second equation, express \( y \) in terms of \( x \): \( y = 5x - 7 \).
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- The radius of the circle is \( \frac{8}{2} = 4 \) units.
- The circumference of the circle is \( 2\pi \times 4 = 8\pi \).
- Solve the system of equations: \( 3x + 2y = 12 \) and \( 5x - y = 7 \).
- Substitute into the first equation: \( 3x + 2(5x - 7) = 12 \).
- Simplify: \( 3x + 10x - 14 = 12 \) leads to \( 13x = 26 \).
- Solving gives \( x = 2 \).
