Mathematics, 14.02.2022 14:00, jacobbecker99
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
Answers: 1
![\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](/tpl/images/2658/6296/40901.png)
Other questions on the subject: Mathematics
Do you know the correct answer?
Solve using the method of elimination , determine if the system has 1 solution, no solutions, or inf...
Questions in other subjects:
Mathematics, 20.01.2021 02:00
Geography, 20.01.2021 02:00
Mathematics, 20.01.2021 02:00
Social Studies, 20.01.2021 02:00
Mathematics, 20.01.2021 02:00
