If Darin scored x points, and Megan scored 5 points less than twice that score, that means Darin scored x while Megan scored 2x - 5. Together they scored a total of 42 points. Adding both scores together, we now have the equation shown;
[tex]\begin{gathered} x+(2x-5)=42 \\ x+2x-5=42 \\ 3x-5=42 \\ \text{Add 5 to both sides } \\ 3x=47 \\ \text{Divide both sides by 3} \\ \frac{3x}{3}=\frac{47}{3} \\ x=15\frac{2}{3} \\ \text{Therefore Megan scored } \\ 2x-5 \\ =2(\frac{47}{3})-5 \\ =\frac{94}{3}-5 \\ =\frac{32}{3} \\ =10\frac{2}{3} \end{gathered}[/tex]Therefore, Megan scored 10 2/3 points
