# Nice set of equations?

Calculus Level pending

$$(ax^b)'=cx^d$$, where $$a\neq b\neq c\neq d$$ and a,b,c,d are integers where $$0 \leq a,b,c,d\leq 9$$

There should be 3 sets of values of a, b, c and d. Let the first set be $${a_1, b_1, c_1, d_1}$$, the second set be $${a_2, b_2, c_2, d_2}$$ and the last set be $${a_3, b_3, c_3, d_3}$$.

Substitute the values into the equations $$a_nx+b_ny+c_nz=d_n$$ where n=1, 2, 3.

Solve for x, y and z.

x+y+z=?

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