Question

Hello please quickly help me I’m running out of time before homework due and don’t know how to do anythingggg need tutoring in person 2mw but need these points FOR MY LIIIIIFEUH

Answer 1

The given equation is

$0.35x+0.05(12-x)=0.10(-18)$

Simplify both sides

$\begin{gathered} 0.35x+0.05(12)-0.05(x)=-1.8 \\ 0.35x+0.6-0.05x=-1.8 \end{gathered}$

Add the like terms

$\begin{gathered} (0.35-0.05x)+0.6=-1.8 \\ 0.30x+0.6=-1.8 \end{gathered}$

Subtract 0.6 from both sides

$\begin{gathered} 0.30x+0.6-0.6=-1.8-0.6 \\ 0.30x=-2.4 \end{gathered}$

Divide both sides by 0.30

$\begin{gathered} \frac{0.30x}{0.30}=\frac{-2.4}{0.30} \\ \\ x=-8 \end{gathered}$

Check the answer by substituting x by 8 on the left side

$\begin{gathered} L.S=0.35(-8)+0.05(12--8) \\ L.S=-2.8+0.05(20) \\ L.S=-2.8+1 \\ L.S=-1.8=R.S \end{gathered}$

The solution set of the equation is {-8}