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Use the elimination method to solve the system 5x − 14y = 74 −x − 6y = 38
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2 votes
Use the elimination method to solve the system

5x − 14y = 74
−x − 6y = 38

User Yousif
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1 Answer

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\bf \begin{array}{llll} 5x-14y=74&\implies &~~5x-14y=74\\ -x-6y=38&\boxed{* 5}\implies &-5x-30y=190\\ &&--------\\ &&~~0x-44y=264 \end{array} \\\\\\ -44y=264\implies y=\cfrac{264}{-44}\implies \boxed{y=-6}\\\\ -------------------------------\\\\ 5x-14y=74\implies 5x-14(-6)=74\implies 5x+84=74 \\\\\\ 5x=-10\implies x=\cfrac{-10}{5}\implies \boxed{x=-2}
User Topxebec
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