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cant be too bad

let amount invested at 4% be x
ammount at 5% be y
amount at 7% be z

we know that the total amount invested is 13000
so x+y+z = 13000 ( one eqn )

now, assuming simple interest ( which I think is what they want )

I = Prn

income from $x = x (0.04)(1) =0.04x

x*1.04+y*1.05=z*1.07
With only one year it has to be simple interest.

so
^ thats another eqn there

and last condition gives another eqn
0.04x +0.05y = 75 + 1.07z

lol that guys eqn was wrong

yeah it was, sorry, fiddling about now

should have been 0.04x + 0.05y + 0.07z = 705

so
x+y+z = 13000
0.04x + 0.05y + 0.07z = 705
0.04x +0.05y = 75 + 1.07z

there eqns, three unknowns
you can solve, im not doing boring pointless albegra

algebra

yeah just word problems arent my thing :(