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Official 2017 Paper 1 · Q14

Paper 1Algebra

The solution of the simultaneous equations

2x+3×2y=32^x+3\times2^y=3
22x−9×22y=62^{2x}-9\times2^{2y}=6

is x=px=p, y=qy=q.

Find the value of p−qp-q.

A512\frac5{12}
B73\frac73
Clog⁡2512\log_2\frac5{12}
Dlog⁡273\log_2\frac73
Elog⁡29\log_2 9
Flog⁡215\log_2 15

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