Question

Solve the linear equation using equivalent equations to isolate the variable. Write your solution as aninteger, as a simplified fraction, or as a decimal number.13x + 5x++ 5 - -2AnswerKeypadKeyboard ShortcutsX=

Answer 1

The equation is given to be:

`3x+5x+(1)/(6)=(1)/(2)`

Step 1: Multiply each term by 6 to eliminate the fractions

`\begin{gathered} 3x(6)+5x(6)+(1)/(6)(6)=(1)/(2)(6) \\ 18x+30x+1=3 \end{gathered}`

Step 2: Add the common terms

`48x+1=3`

Step 3: Subtract 1 from both sides

`\begin{gathered} 48x+1-1=3-1 \\ 48x=2 \end{gathered}`

Step 4: Divide both sides of the equation by 48

`\begin{gathered} (48x)/(48)=(2)/(48) \\ x=(2)/(48) \end{gathered}`

Step 5: Reduce the fraction by dividing through by 2

`\begin{gathered} x=(2/2)/(48/2) \\ x=(1)/(24) \end{gathered}`

ANSWER

The solution is:

`x=(1)/(24)`