Question

46. Найдите корень уравнения:
1) $frac{3m+5}{4}= frac{5m+1}{3};$
2) $frac{5x+3}{5}= frac{x-5}{8}.$

Answer 1

$frac{3m+5}{4} - frac{5m+1}{3} = 0 \ frac{3(3m+5) -4(5m+1)}{12} = 0 \ frac{9m+15-20m- 4}{12} =0 \ -11m-11=0 \ -11m=11 \ m=-1 \ \ frac{5x+3}{5} - frac{x-5}{8} =0 \ frac{8(5x+3)-5(x-5)}{40} =0 \ frac{40x+24-5x-25}{40}=0 \ 35x-1=0 \ 35x=1 \ x= frac{1}{35}$