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What is 2a+50=5a-4? Thank you for your time.​

User Fssilva
by
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2 Answers

2 votes

Answer:


a=18

Explanation:


2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\(-3a)/(-3)=(-54)/(-3)\\Simplify\\(-3a)/(-3)=(-54)/(-3)\\\mathrm{Simplify\:}(-3a)/(-3):\quad a\\(-3a)/(-3)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(3a)/(3)\\\mathrm{Divide\:the\:numbers:}\:(3)/(3)=1


=a\\\mathrm{Simplify\:}(-54)/(-3):\quad 18\\(-54)/(-3)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(54)/(3)\\\mathrm{Divide\:the\:numbers:}\:(54)/(3)=18\\=18\\a=18

User Mollerhoj
by
8.0k points
6 votes

Answer:

2a+50=5a-4

5a-2a=50+4

3a=54

a=18

User Trevor Robinson
by
8.7k points

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