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What value of m will make 4x-7y=5 and 9x+my=3 parallel?

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[tex]l:y=m_1x+b_1\ and\ k:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\------------------------\\l:4x-7y=5\to-7y=-4x+5\to y=\frac{4}{7}x-\frac{5}{7}\\\\k:9x+my=3\to my=-9x+3\to y=-\frac{9}{m}x+\frac{3}{m}\\\\l\ ||\ k\iff-\frac{9}{m}=\frac{4}{7}\\\\cross\ multiply:\\\\4m=-9\cdot7\\\\4m=-63\ \ \ \ /:4\\\\m=-15.75\leftarrow answer[/tex]
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