Question

2. Show that x = 4 is a solution of the equation x + 7 – 8x/3 = 17/6 – 5x/8
3. Find x for the equation: (2 + x)(7 – x)/(5 – x)(4 + x) = 1

Answer 1

no.2= x+7-8x/3=17/6-5x/8 ans. 4+7-8x4/3=17/6-5x4/8 , 11-32/3=17/6-20/8 ,33-32/3=68-60/24 , 1/3=8/24 , 1/3=1/3 no 3. (2+x)(7-x)=14-2x+7x-xpower2 and(5-x)(4+x)=20+5x-4x-xpower2 14+5x-xpower2/20+x-xpower2=1 by cross multiplication 14+5x-xpower2=20+x-xpower2, now 14+5x=20+x-xpower2+xpower2 hence, 14+5x=20+x and 14-20=x-5x, so -6=-4x, hence, x=-6/-4 and x=-3/-2 i.e.3/2