Mathematics: Solve using the method of elimination , determine if the system has 1 solution, no solutions, or infinite solutions -8x+2y=8 4x+8y= -4 Show all work

Solve using the method of elimination , determine

Ответ:

munekalove69ounxwv

14.02.2022

$\stackrel{\textit{2nd equation }\times 2}{\begin{array}{rrrrr} -8x&+&2y&=&8\\ 2(4x&+&8y)&=&2(-4) \end{array}}\qquad \implies \qquad \begin{array}{rrrrr} -8x&+&2y&=&8\\ 8x&+&16y&=&-8\\\cline{1-5} 0&+&18y&=&0 \end{array} \\\\\\ 18y=0\implies y=\cfrac{0}{18}\implies \boxed{y=0} \\\\\\ \stackrel{\textit{we know that}}{4x+8y=-4}\implies 4x+8(0)=-4\implies 4x=-4\implies x\cfrac{4}{-4}\implies \boxed{x=-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{one solution}}{(-1~~,~~0)}~\hfill$

you'd want to often enough check their slopes first, if the slopes differ, they meet, if equal, they're parallel and either never meet or meet everywhere.

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Ответ:

anferneebcoleman

17.08.2022

Mathematics

Step-by-step explanation:

hindi ko alam yan pang matanda yan bata pa ako

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Solve using the method of elimination , determine if the system has 1 solution, no solutions, or infinite solutions -8x+2y=8
4x+8y= -4

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