Mathematics, 20.10.2019 10:30, MrSnuffleBuns4277
Examine this system of equations. what integer should the second equation be multiplied by so that when the two equations are added together, the x term is eliminated?me
3/4x+1/7y=6
1/8x-3/5y=16
Answers: 3
![\bf \begin{cases} \cfrac{3}{4}x+\cfrac{1}{7}y&=6\\[2em] \cfrac{1}{8}x-\cfrac{3}{5}y&=16 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}n=-\cfrac{3}{4}\implies \cfrac{n}{8}=-\cfrac{3}{4}\implies 4n=-24\implies n=\cfrac{-24}{4}\implies n=-6 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}x(-6)\implies \cfrac{-6}{8}x\implies -\cfrac{3}{4}x](/tpl/images/0336/8272/96e0e.png)
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