Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

what does x equal in the equation 15+3|5x-10|=24 ???

Sagot :

luana
[tex]15+3|5x-10|=24\\\\Formula\ for\ absolute\ value\\\\ |a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0\\\\ 15+3(5x-10)=24\ \ \ \ or\ \ \ \ 15+3(-5x+10)=24\\\\ 15+15x-30=24\ \ \ \ or\ \ \ \ 15-15x+30=24\\\\ 15x-15=24\ \ \ \ \ or\ \ \ \ \ -15x+45=24\\\\ 15x=39\ \ \ \ or\ \ \ \ \ -15x=-21\\\\ x=\frac{39}{15}\ \ \ \ or\ \ \ \ x=\frac{21}{15}[/tex]
konrad509
[tex]15+3|5x-10|=24\\ 3|5x-10|=9\\ |5x-10|=3\\ 5|x-2|=3\\ |x-2|=\dfrac{3}{5}\\ x-2=\dfrac{3}{5} \vee x-2=-\dfrac{3}{5}\\ x=\dfrac{3}{5}+2 \vee x=-\dfrac{3}{5}+2\\ x=\dfrac{3}{5}+\dfrac{10}{5} \vee x=-\dfrac{3}{5}+\dfrac{10}{5}\\ x=\dfrac{13}{5} \vee x=\dfrac{7}{5}\\[/tex]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.