Question #f2e0e

2 Answers
Jan 3, 2018

Photo of question is incomplete.
No solution is possible.

Jan 3, 2018

Not enough information to pinpoint the exact values of the variables.

Explanation:

First, let's simplify the second equation.
We have, #(ax)/b-(by)/a=(a^4-b^4)/(ab)#
We use the common denominator #ab# to get:
#(ax xxa)/(ab)-(b xxby)/(ab)=(a^4-b^4)/(ab)#
#(a^2x)/(ab)-(b^2y)/(ab)=(a^4-b^4)/(ab)#
#ab[(a^2x)/(ab)-(b^2y)/(ab)=(a^4-b^4)/(ab)]#
#a^2x-b^2y=a^4-b^4#
We can quite safely say that #a^2x=a^4# and #b^2y=b^4#
When we simplify this, we get: #x=a^2# and #y=b^2#

And we see that both of the equations hold true when we plug these values into them when #a!=0# and #b!=0#. As long as the values you use fit these requirements, the equations will always hold true. Without enough information, there is infinitely many solutions you could have.