x-3-2my-2-3-3-2mx-3y-6-1-help-me-solve-it-

Question Number 74148 by mathocean1 last updated on 19/Nov/19

{\begin{cases} - x \sqrt{3} + 2 m y \sqrt{2} = \frac{\sqrt{3}}{3} \\ 2 m x - 3 y \sqrt{6} = 1 \end{cases}

h e l p m e s o l v e i t .

Answered by MJS last updated on 19/Nov/19

2 equations in 3 unknowns \Rightarrow parametric

solution

(1) \Rightarrow y = \frac{\sqrt{6}}{12 m} (3 x + 1)

(2) \Rightarrow y = \frac{\sqrt{6}}{18} (2 m x - 1)

\frac{\sqrt{6}}{12 m} (3 x + 1) = \frac{\sqrt{6}}{18} (2 m x - 1)

\Rightarrow x = \frac{1}{2 m - 3} \Rightarrow y = \frac{\sqrt{6}}{6 (2 m - 3)}

Facebook Tweet Pin