3. Solve the following equations by trial and error method:
(1) 5p + 2 = 17
(i) 3m - 14 = 4
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1.5p + 2 = 17
Put p = 1 in LHS
5 * 1 + 2 = 5 + 2 = 7 ≠ RHS
Put p = 2 in LHS
5 * 2 + 2 = 10 + 2 = 12 ≠ RHS
Put p = 3 in LHS
5 * 3 + 2 = 15 + 2 = 17 = RHS
Hence, p = 3 is the solution of the given method.
(ii) 3m – 14 = 4
Put m = 4 in LHS
3 * 4 – 14 = 12 – 14 = -2 ≠ RHS
Put m = 5 in LHS
3 * 5 – 14 = 15 – 14 = 1 ≠ RHS
Put m = 6 in LHS
3 * 6 – 14 = 18 – 14 = 4 = RHS
Hence, m = 6 is the solution of the given method.
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