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ArbitrLikvidat [17]
3 years ago
13

2/5n+1/10=1/2(n+4) is this no solution?

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

\dfrac{2}{5}n+\dfrac{1}{10}=\dfrac{1}{2}(n+4)\ \ \ |\cdot10\\\\10\cdot\dfrac{2}{5}n+10\cdot\dfrac{1}{10}=10\cdot\dfrac{1}{2}(n+4)\\\\2\cdot2n+1=5(n+4)\ \ \ \ |\text{use distributive property}\\\\4n+1=(5)(n)+(5)(4)\\\\4n+1=5n+20\ \ \ |-1\\\\4n=5n+19\ \ \ \ |-5n\\\\-n=19\ \ \ |\cdot(-1)\\\\\boxed{n=-19}

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