Can we solve these simultaneous equations with integrals?

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Given a function \(f(x)\), you are told that \[\int_0^1 3f(x)\,dx+\int_1^2 2f(x)\,dx=7,\] \[\int_0^2 f(x)\,dx+\int_1^2 f(x) \,dx=1.\] It follows that \(\int_0^2 f(x) \,dx\) equals

1. \(-1\),

2. \(0\),

3. \(\dfrac{1}{2}\),

4. \(2\).