Question

Giải phương trình; \(\frac{x+24}{18}\)\(=\)\(\frac{3x}{50}\)

Answer 1

\(\frac{x+24}{18}\)=\(\frac{3x}{50}\)

\(\frac{x+24}{18}\)-\(\frac{3x}{50}\)=0

\(\frac{25\left(x+24\right)}{450}\)-\(\frac{27x}{450}\)=0

25x+600-27x=0

-2x=-600

x=300

Answer 2

Ta có:

\(\frac{x+24}{18}=\frac{3x}{50}\\ < =>\frac{25.\left(x+24\right)}{450}=\frac{9.3x}{450}\\ < =>25x+600=27x\\ < =>25x-27x=-600\\ < =>-2x=-600\\ =>x=\frac{-600}{-2}=300\)

Answer 3

\(\frac{x+24}{18}=\frac{3x}{50}\Leftrightarrow\frac{x}{18}+\frac{24}{18}=\frac{3x}{50}\Leftrightarrow\left(\frac{3}{50}-\frac{1}{18}\right)x=\frac{24}{18}\)

\(x=\frac{24}{18}:\frac{3.18-50}{50.18}=\frac{24.50.18}{18.4}=50.6=300\)

Answer 4

ta có: \(\frac{25\left(x+24\right)}{450}\)= \(\frac{9\cdot3x}{450}\)

(=) 25x + 600 = 27x

(=) 25x - 27x = -600

(=) -2x = -600

(=) x = \(\frac{-600}{-2}\)= 300

Vậy S = {300}

Answer 5

vì \(\frac{x+24}{18}\)=\(\frac{3x}{50}\)

nên (x+24)*50=18*3x

\(\Leftrightarrow\)50x+1200=54x

\(\Leftrightarrow\)50x-54x=-1200

\(\Leftrightarrow\)-4x=-1200

\(\Leftrightarrow\)x= \(\frac{-1200}{-4}\)=300

vây phương trình có 1 nghiệm S={300}

Answer 6

\(\frac{x+24}{18}=\frac{3x}{50}\)

\(\Leftrightarrow3x.18=\left(x+24\right)50\)

\(\Leftrightarrow54x=50x+1200\)

\(\Leftrightarrow54x-50x=1200\)

\(\Leftrightarrow4x=1200\Leftrightarrow x=300\)

Answer 7

\(\frac{x+24}{18}=\frac{3x}{50}\\ =\frac{25\left(x+24\right)}{18.25}=\frac{9.3x}{50.9}\\ =\frac{25x+600}{450}=\frac{27x}{450}\\ =25x+600+27x=0\\ =25x-27x=0-600\\ =-2x=-600\\ x=\frac{-600}{-2}=300\)