Answer:
x = -27/34
Step-by-step explanation:
[tex]the \: eqution \: is \: \frac{9}{x} = \frac{2}{4x + 3} \\ what \: you \: first \: do \: is \: cross \: multiply \\ so \: after \: cross \: multplying \: you \: get \\ \\ 9(4x + 3) = 2(x) \\ then \: open \: or \: expand \: each \: side \: whchever \\ \: word \: you \: prefer \: use \\ \\ (9 \times 4x) + (9 \times 3) = (2 \times x) \\ 36x + 27 = 2x \\ now \: you \: collect \: like \: terms \\ so \: you \: get \\ 36x - 2x = - 27 \\ 34x = - 27 \\ divide \: throghout \: by \: 34 \\ \frac{34x}{34} = \frac{ - 27}{34} \\ x = \frac{ - 27}{34} \\ and \: that \: is \: your \: final \: answer[/tex]
