Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts 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 hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.