[tex]6x + 9 = 7 \: and \: y = - \frac{3}{2}x + 4 \\ \\ means \\ \\ 6x + 9( \frac{ - 3}{2}x + 4) = 7 \: \: or \\ 6x - \frac{27}{2}x + 36 = 7 \: \: or \\ \\ \frac{27}{2}x - 6x = 36 - 7 \: and \\ \\ \frac{27}{2}x - \frac{12}{?2}x = 29 \\ \\ \frac{15}{2}x = 29 \\ x = \frac{29}{1} \times \frac{2}{15} = \frac{58}{15} \\ \\ y = - \frac{3}{2} \times \frac{58}{15} + 4 \\ = \frac{ - 174}{30} + \frac{120}{30} = - \frac{54}{30} = - \frac{27}{15} [/tex]
