The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
Z/5
=
3/10 z + 8

Question

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
Z/5
 = 
3/10 z + 8

dumbcow · Answer

cross multiply
z*(10z+8) = 15
distribute
10z^2 + 8z = 15
set equal to 0
10z^2 + 8z -15 = 0
use quadratic formula
-8 +-sqrt(64-4(10)(-15)) / 20
= (-8 +- 25.77)/20
=.88 or -1.68

anonymous · Answer

shouldnt it = a fraction

dumbcow · Answer

i just realized i did this wrong, i noticed its supposed to be a linear function huh?
so the equation is probably
1/5z = 3/10z + 8
get z's on one side
-1/10z = 8
multiply by -10
z = -80