Question

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=

Answer 1

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)`