1.Giải các PT sau
a.x/3 – 5x/6 – 15x/12=x/4 – 5
b.8x-3/4 – 3x-2/2=2x-1/2 + x+3/4
c.x-1/2 – x+1/15 – 2x-13/6=0
d.3(3-x)/8 + 2(5-x)/3=1-x/2 – 2
e.3(5x-2)-2=7x/3 – 5(x-7)
f.x+5/2 + 3-2x/4=x – 7+x/6
g.x-3/11 + x+1/3= x+7/9 – 1
*Ai giải mik vote câu trả lời hay nhất
Đáp án:
g. \(x = – \frac{{28}}{{31}}\)
Giải thích các bước giải:
\(\begin{array}{l}
a.\frac{x}{3} – \frac{{5x}}{6} – \frac{{15x}}{{12}} = \frac{x}{4} – 5\\
\to 4x – 10x – 15x = 3x – 60\\
\to – 24x = – 60\\
\to x = \frac{5}{2}\\
b.\frac{{8x – 3}}{4} – \frac{{3x – 2}}{2} = \frac{{2x – 1}}{2} + \frac{{x + 3}}{4}\\
\to 8x – 3 – 6x + 4 = 4x – 2 + x + 3\\
\to – 3x = 0\\
\to x = 0\\
c.\frac{{x – 1}}{2} – \frac{{x + 1}}{{15}} – \frac{{2x – 13}}{6} = 0\\
\to 15x – 15 – 2x – 2 – 10x + 65 = 0\\
\to 3x = – 48\\
\to x = – 16\\
d.\frac{{9 – 3x}}{8} + \frac{{10 – 2x}}{3} = \frac{{1 – x}}{2} – 2\\
\to 27 – 9x + 80 – 16x = 12 – 12x – 48\\
\to 13x = 143\\
\to x = 11\\
e.15x – 6 – 2 = \frac{7}{3}x – 5x + 35\\
\to \frac{{53}}{3}x = 43\\
\to x = \frac{{129}}{{53}}\\
f.\frac{{x + 5}}{2} + \frac{{3 – 2x}}{4} = x – \frac{{7 + x}}{6}\\
\to 6x + 30 + 9 – 6x = 12x – 14 – 2x\\
\to 10x = 53\\
\to x = \frac{{53}}{{10}}\\
g.\frac{{x – 3}}{{11}} + \frac{{x + 1}}{3} = \frac{{x + 7}}{9} – 1\\
\to 9x – 27 + 33x + 33 = 11x + 77 – 99\\
\to 31x = – 28\\
\to x = – \frac{{28}}{{31}}
\end{array}\)