Question

Enter the value of n so that the expression 2/5x-1/2 is equivalent to n(4x-5)
Please Help!

Answer 1

`~~~~~~~\frac 25 x - \frac 12= n(4x-5)\\\\\\ \implies (4x)/(10)- (5)/(10) = n(4x-5)\\\\\\\ \implies \frac 1{10}(4x-5) = n(4x-5)\\\\\\\implies n = \frac 1{10}~~~~~;\left[x \\eq \frac 54 \right]`