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Solve the equations :(i) 6(1 – 4x) + 7(2 + 5x) = 53(ii) 3(x + 6) + 2(x + 3) = 64 |
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Answer» (i) 6(1 – 4x) + 7(2 + 5x) = 53 6( 1 – 4x) + 7(2 + 5x) = 53 6 – 24x+ 14 + 35x = 53 35x – 24x + 6 + 14 = 53 11x+ 20 = 53 11x = 53 – 20 x = \(\frac{33}{11}\) x = 3 (ii) 3(x + 6) + 2(x + 3) = 64 3(x + 6) + 2(x + 3) = 64 3x + 18 + 2x + 6 = 64 3x + 2x + 18 + 6 = 64 5x + 24 = 64 5x = 64 – 24 5x = 40 x = \(\frac{40}{5}\) ∴ x = 8 |
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