William W. answered • 11/20/19
Top Algebra Tutor
xy + b/c = 8/a - d
Add "d" to both sides to get:
d + xy + b/c = 8/a
Multiply both sides by "a" to get:
a(d + xy + b/c) = 8
Divide both sides by "d + xy + b/c" to get:
a = 8/(d + xy + b/c)
This often times would be considered an improperly simplified answer because it contains a fraction "b/c" within the bigger fraction. So, to eliminate this, use the common denominator for the "d + xy + b/c" of c to make it "dc/c + xyc/c + b/c" and combine it to become "(dc + xyc + b)/c making the answer become:
a = 8/[(dc + xyc + b)/c]
This is a fraction (8 which is the same as 8/1) divided by a fraction (dc + xyc + b)/c so we invert the denominator and multiply giving us a final answer of:
a = (8c)/(dc + xyc + b) or:
