Math, asked by tanshikasharma, 1 year ago

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Answered by ishwarsinghdhaliwal
3
 = > (1) \\ 4x = 2x + 12 \\ 4x - 2x = 12 \\ 2x = 12 \\ x = 6 \\ check = > 4(6) = 2(6) + 12 \\ 24 = 12 + 12 \\ 24 = 24 \\ LHS = RHS \\ = > (2) \\ 5y - 7 = 3y - 1 \\ 5y - 3y = - 1 + 7 \\ 2y = 6 \\ y = 3 \\ check = > 5(3) - 7 = 3(3) - 1 \\ 15 - 7 = 9 - 1 \\ 8 = 8 \\ LHS = RHS \\ = > (3) \\ t = \frac{3}{4} (t - 2) \\ \frac{4}{3} t = t - 2 \\ \frac{4}{3} t - t = - 2 \\ \frac{4t - 3t}{3} = - 2 \\ \frac{t}{3 } = - 2 \\ t = - 6 \\ check = > - 6 = \frac{3}{4} ( - 6 - 2) \\ - 6 = - 6 \\ LHS = RHS \\ (4) = > \\ \frac{2y}{5} - 3 = \frac{5y}{6} + 10 \\ \frac{2y}{5} - \frac{5y}{6} = 10 + 3 \\ \frac{12y - 25y}{30} = 13 \\ \frac{ - 13y}{30} = 13 \\ y = 13 \times \frac{30}{ - 13} \\ y = - 30 \\ check = > \frac{2( - 30)}{5} - 3= \frac{5( - 30)}{6} + 10 \\ \frac{ - 60}{5} - 3 = \frac{ - 150}{6} + 10 \\ - 12 - 3 = - 25 + 10 \\ - 15 = - 15 \\ LHS = RHS \\ (5) = > \\ 7x + 5 = 3(x - 4) + 1 \\ 7x + 5 = 3x - 12 + 1 \\ 7x + 5 = 3x - 11 \\ 7x - 3x = - 11 - 5 \\ 4x = - 16 \\ x = - 4 \\ check = > 7( - 4) + 5 = 3( - 4 - 4) + 1 \\ - 28 + 5 = - 24 + 1 \\ - 23 = - 23 \\ LHS = RHS \\ = > (6) \\ 2t - \frac{5}{6} = \frac{11}{15} - 45t \\ 2t + 45t = \frac{11}{15} + \frac{5}{6} \\ 47t = \frac{22 + 25}{30} \\ 47t = \frac{47}{30} \\ t = \frac{1}{30} \\ check = > 2( \frac{1}{30} ) - \frac{5}{6} = \frac{11}{15} - 45( \frac{1}{30}) \\ \frac{1}{15} - \frac{5}{6} = \frac{11}{15} - \frac{3}{2} \\ \frac{2 - 25}{30} = \frac{22 - 45}{30} \\ \frac{ - 23}{30} = \frac{ - 23}{30} \\LHS = RHS
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