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Solve the following linear equation using equivalent equations to isolate the variable. Express youranswer as an integer, as a simplified fraction, or as a decimal number rounded to two places.2345 2----U43НЕ KeyAnswerHow to enter your answer (Opens in new window)Keyboard ShoU=

User Bp Zhang
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1 Answer

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20 votes

Given the equation


(-3)/(4)-(2)/(3)=(5)/(4)u-(2)/(3)u

We add and subtract similar terms:


-(17)/(12)=(7)/(12)u

Multiply both sides by 12:


\begin{gathered} -(17)/(12)\cdot12=12\cdot(7)/(12)u \\ -17=7u \end{gathered}

Divide both sides by 7:


\begin{gathered} -(17)/(7)=(7u)/(7) \\ u=-(17)/(7) \end{gathered}

Answer:


u=-(17)/(7)

User Tim Fuqua
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