Question

If y = 6x +7 and 3y +12x - 6 =0 what is y and x

Answer 1

$\color{lime} \large \bold{Given,} \\ \\ \sf \: y \: = \: 6x + \: 7 \: \ { \underline{Substituting \: the \: value \: of \: y \: in \: the \: given \: equation.}} \\ \\ \sf 3 \: \times \: 6x \: + \: 7 \: + \: 12x \: - \: 6 \: = \: 0 \\ \\ \sf \:30x \: + \: 1 \: = \: 0 \\ \\ \sf \: 30x \: = \: - 1 \\ \\ \sf \: \color{red} x \: = \: \frac{ - 1}{30} \\ \\ \sf \: Substituting \: the\: value \: o f\: x \: in \: y \: = \: 6x \: + \: 7 \\ \\ \sf \: y \: = \: 6 \: \times \: \frac{ - 1}{30} \: + \: 7 \\ \\ \sf \: \color{aqua} y \: = \: 6.8 \\ \\ \sf \:$