Question

2 1/4x - 3 1/2 = -1/16
show all steps please

Answer 1

`\bf 2(1)/(4)x-3(1)/(2)=-\cfrac{1}{16}\implies \cfrac{2\cdot 4+1}{4}x-\cfrac{3\cdot 2+1}{2}=-\cfrac{1}{16} \\\\\\ \cfrac{9x}{4}-\cfrac{7}{2}=-\cfrac{1}{16}`

and now, we multiply both sides by 16, to get rid of the denominators, so, let's do so.


`\bf 16\cdot \cfrac{9x}{4}-16\cdot \cfrac{7}{2}=16\cdot -\cfrac{1}{16}\implies 36x-56=-1 \\\\\\ 36x=55\implies x=\cfrac{55}{36}`