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

$\frac{-3}{4}-\frac{2}{3}=\frac{5}{4}u-\frac{2}{3}u$

We add and subtract similar terms:

$-\frac{17}{12}=\frac{7}{12}u$

Multiply both sides by 12:

$\begin{gathered} -\frac{17}{12}\cdot12=12\cdot\frac{7}{12}u \\ -17=7u \end{gathered}$

Divide both sides by 7:

$\begin{gathered} -\frac{17}{7}=\frac{7u}{7} \\ u=-\frac{17}{7} \end{gathered}$

Answer:

$u=-\frac{17}{7}$