Question

GIẢI CÁC PHƯƠNG TRÌNH

a)  \(x-\frac{5x+2}{6}=\frac{7-3x}{4}\)

b) \(\frac{10x+3}{12}=1+\frac{6+8x}{9}\)

c)  \(\frac{x}{3}-\frac{2x+1}{2}=\frac{x}{6}-x\)

d)  \(\frac{2+x}{3}=\frac{1}{2}x=\frac{1-2x}{4}+\frac{1}{4}\)

Answer 1

a, \(x-\frac{5x+2}{6}=\frac{7-3x}{4}\)

\(\frac{12x}{12}-\frac{2\left(5x+2\right)}{12}=\frac{3\left(7-3x\right)}{12}\)

\(12x-10x-4=21-9x\)

\(11x=25\)

\(x=\frac{24}{11}\)

\(b,\frac{10x+3}{12}=1+\frac{6+8x}{9}\)

\(\frac{10x+3}{12}=\frac{15+8x}{9}\)

\(9\left(10x+3\right)=12\left(15+8x\right)\)

\(3\left(10x+3\right)=4\left(8x+15\right)\)

\(30x+9=32x+60\)

\(-2x=51\)

\(x=-\frac{51}{2}\)

\(c,\frac{x}{3}-\frac{2x+1}{2}=\frac{x}{6}-x\)

\(\frac{2x}{6}-\frac{3\left(2x+1\right)}{6}=\frac{x-6x}{6}\)

\(2x-6x-3=x-6x\)

\(x=3\)

P/s: Bn xem lại đề bài phần d nha!

=.= hk tốt!!

Answer 2

câu d sao bn đề đúng r ạ

Answer 3

tức là đề có 2 dấu = hả bn?

Answer 4

là \(\frac{2+x}{3}-\frac{1}{2}x=\frac{1-2x}{4}+\frac{1}{4}\)

Answer 5

\(\frac{2+x}{3}-\frac{1}{2}x=\frac{1+2x}{4}+\frac{1}{4}\)

\(\frac{2\left(2+x\right)}{6}-\frac{3x}{6}=\frac{1+2x+1}{4}\)

\(\frac{4+2x-3x}{6}=\frac{2x+2}{4}\)

\(\frac{4-x}{6}=\frac{x+1}{2}\)

\(2\left(4-x\right)=6\left(x+1\right)\)

\(8-2x=6x+6\)

\(-8x=-2\)

\(x=\frac{1}{4}\)

=.= hk tốt!!