Đáp án:
Giải thích các bước giải:
1)$\frac{5x-4}{2}$= $\frac{16x+1}{7}$
⇒$\frac{7(5x-4)}{14}$=$\frac{2(16x+1)}{14}$
⇔7(5x-4)=2(16x+1)
⇔35x-28=32x+2
⇔35x-32x=2+28
⇔3x=30
⇔x=10
vậy S=10
2)$\frac{2x+3}{3}$= $\frac{5-4x}{2}$
⇒$\frac{2(2x+3)}{6}$=$\frac{3(5-4x)}{6}$
⇔2(2x+3)=3(5-4x)
⇔4x+6=15-12x
⇔4x+12x=15-6
⇔16x=9
⇔x=9/16
3)$\frac{10x+3}{12}$= $\frac{15-8x}{9}$
⇒$\frac{3(10x+3)}{36}$=$\frac{4(15-8x)}{36}$
⇔3(10x+3)=4(15-8x)
⇔30x+9=60-32x
⇔30x+32x=60-9
⇔62x=51
⇔x=51/62
4)$\frac{7x-1}{6}$= $\frac{16-x}{5}$
⇒$\frac{5(7x-1)}{30}$=$\frac{6(16-x)}{30}$
⇔5(7x-1)=6(16-x)
⇔35x-5=96-6x
⇔35x+6x=96+5
⇔41x=101
⇔x=101/41
5)$\frac{2-x}{3}$= $\frac{3-2x}{5}$
⇒$\frac{5(2-x)}{15}$=$\frac{3(3-2x)}{15}$
⇔5(2-x)=3(3-2x)
⇔10-5x=9-6x
⇔-5x+6x=9-10
⇔x=-1
( chúc bạn học tốt)