Решение и ответ:
[tex]\displaystyle \frac{{7x+4}}{4}-\frac{{5x-8}}{3}=4[/tex]
[tex]\displaystyle \frac{{3\left({7x+4}\right)}}{{12}}-\frac{{4\left({5x-8}\right)}}{{12}}=4[/tex]
[tex]\displaystyle \frac{{21x+12}}{{12}}-\frac{{20x-32}}{{12}}=4[/tex]
[tex]\displaystyle \frac{{21x+12-20x+32}}{{12}}=4[/tex]
[tex]\displaystyle \frac{{x+44}}{{12}}=4[/tex]
[tex]\displaystyle x+44=4\cdot 12[/tex]
[tex]\displaystyle x+44=48[/tex]
[tex]\displaystyle x=48-44[/tex]
[tex]\displaystyle \textbf{x=4}[/tex]
Сделаем проверку
[tex]\displaystyle \frac{{7\cdot4+4}}{4}-\frac{{5\cdot4-8}}{3}=\frac{{28+4}}{4}-\frac{{20-8}}{3}=\frac{{32}}{4}-\frac{{12}}{3}=8-4=4[/tex]
Верно!
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
Решение и ответ:
[tex]\displaystyle \frac{{7x+4}}{4}-\frac{{5x-8}}{3}=4[/tex]
[tex]\displaystyle \frac{{3\left({7x+4}\right)}}{{12}}-\frac{{4\left({5x-8}\right)}}{{12}}=4[/tex]
[tex]\displaystyle \frac{{21x+12}}{{12}}-\frac{{20x-32}}{{12}}=4[/tex]
[tex]\displaystyle \frac{{21x+12-20x+32}}{{12}}=4[/tex]
[tex]\displaystyle \frac{{x+44}}{{12}}=4[/tex]
[tex]\displaystyle x+44=4\cdot 12[/tex]
[tex]\displaystyle x+44=48[/tex]
[tex]\displaystyle x=48-44[/tex]
[tex]\displaystyle \textbf{x=4}[/tex]
Сделаем проверку
[tex]\displaystyle \frac{{7\cdot4+4}}{4}-\frac{{5\cdot4-8}}{3}=\frac{{28+4}}{4}-\frac{{20-8}}{3}=\frac{{32}}{4}-\frac{{12}}{3}=8-4=4[/tex]
Верно!