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777dan777 [17]
4 years ago
10

Solve the system using the substitution method 2x+y=6 3x+5y=9 branliest offered

Mathematics
1 answer:
pashok25 [27]4 years ago
3 0
\left\{\begin{array}{ccc}2x+y=6&|-2x\\3x+5y=9\end{array}\right\\\left\{\begin{array}{ccc}y=6-2x\\3x+5y=9\end{array}\right\\\\substitute\ to\ second\ equation\\\\3x+5(6-2x)=9\\3x+30-10x=9\\-7x+30=9\ \ \ \ |-30\\-7x=-21\ \ \ \ |:(-7)\\x=3\\\\substitute\ the\ value\ of\ x\ to\ first\ equation\\\\y=6-2\cdot3\\y=6-6\\y=0\\\\\boxed{  \left\{\begin{array}{ccc}x=3\\y=0\end{array}\right}
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