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25 votes
25 votes
Solve for x3/10 + 5/10 = 4/x

User Bynary
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1 Answer

10 votes
10 votes

Given:


(3)/(10)+(5)/(10)=(4)/(x)

Solve the equation,


\begin{gathered} (3)/(10)+(5)/(10)=(4)/(x) \\ \text{Find the least common multiple of 10 ,x=10x} \\ \text{ multiplied by 10x} \\ 10x((3)/(10)+(5)/(10))=10x\cdot(4)/(x) \\ 10x\cdot(3)/(10)+10x\cdot(5)/(10)=10\cdot4 \\ 3x+5x=40 \\ 8x=40 \\ \text{Divide by 8} \\ (8x)/(8)=(40)/(8) \\ x=5 \end{gathered}

Answer: x=5

User Ira Cooke
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3.2k points