Question

solve the following equation

Answer 1

Hello...........^_^

Here is your answer,

$\frac{12x + 1}{4} + 1 = \frac{14x - 6}{4} \\ \\ \\ = > \frac{12x + 1 + 4}{4} = \frac{14x - 6}{4} \\ \\ \\ = > \frac{12x + 5}{4} = \frac{14x - 6}{4} \\ \\ (cross \: \: mutiplication) \\ \\ = > 4 \times (12x + 5) = 4(14x - 6) \\ \\ \\ = > 48x + 20 = 56x - 24 \\ \\ \\ = > 20 + 24 = 56x - 48x \\ \\ \\ = > 44 = 8x \\ \\ \\ = > \frac{44}{8} = x \\ \\ (44 \: and \: 8 \: are \: \: divisible \: \: by \: 4) \\ \\ = > \frac{11}{2} = x$




Check
$L.H.S = \frac{12x + 1}{4} + 1 \\ \\ = \frac{12 \times \frac{11}{2} + 1}{4} + 1 \\ \\ = \frac{6 \times 11 + 1}{4} + 1 \\ \\ = \frac{66 + 1}{4} + 1 \\ \\ = \frac{67}{4} + 1 \\ \\ = \frac{67 + 4}{4} \\ \\ = \frac{71}{4} \\ \\ \\ R.H.S = \frac{14x - 6}{4} \\ \\ = \frac{14 \times \frac{11}{2} - 6}{4} \\ \\ = \frac{7 \times 11 - 6}{4} \\ \\ = \frac{77 - 6}{4} \\ \\ = \frac{71}{4}$



So, L.H.S = R.H.S