⅓(2x-4)+5=-⅔(x+1)HALP

1 answer:

6 0

$\frac{2}{3} x - \frac{4}{3} + 5 = \frac{ - 2}{3} x - \frac{2}{3 } \\ \frac{2}{3} x - \frac{11}{3} = - \frac{2}{3} x - \frac{2}{3} \\ 2x + 11 = - 2x - 2 \\ 4x = - 13 \\ x = \frac{ - 13}{4}$

You might be interested in

There are 416 students who are enrolled in an introductory geology course. if there are seven boys to every six girls, how many

Alenkinab [10]

$\text{Let the number of boys be x and number of girls be y.}\\
\\
\text{and there are total 416 students enrolled in the course. so we have}\\
\\
x+y=416 \ \ \ \ \ \ \ \ \ \ ......(i)\\
\\
\text{also given that there are seven boys to every six girls, that is}\\
\\
\frac{x}{y}=\frac{7}{6}$

$\Rightarrow 6x=7y\\
\\
\Rightarrow y=\frac{6x}{7}\\
\\
\text{substitute this value of y in (i), we get}\\
\\
x+\frac{6x}{7}=416\\
\\
\Rightarrow \frac{7x+6x}{7}=416\\
\\
\Rightarrow \frac{13x}{7}=416\\
\\
\Rightarrow x=\frac{416\times 7}{13}\\
\\
\Rightarrow x=224$