Question

Answer 1

\(a,\dfrac{11-x}{6}=\dfrac{2}{3}\\ \Leftrightarrow\left(11-x\right).3=6.2\\ \Leftrightarrow33-3x=12\\ \Leftrightarrow3x=21\\ \Leftrightarrow x=7\\ b,\dfrac{48}{x-5}=\dfrac{6}{56}=\dfrac{3}{28}\\ \Leftrightarrow3.\left(x-5\right)=48.28\\ \Leftrightarrow3x-15=1344\\ \Leftrightarrow3x=1359\\ \Leftrightarrow x=453\)

Answer 2

\(a:\dfrac{11-x}{6}=\dfrac{2}{3}\\ \left(11-x\right)\times3=6\times2=12\\11-x=12:3\\ 11-x=4\\ x=11-4\\ x=7\\ b:\dfrac{48}{x-5}=\dfrac{6}{56}\\ 48\times56=\left(x-5\right)\times6= 2688\\ x-5=2688:6\\ x-5=448\\ x=448+5\\ x=453\)