What is the solution of the system?

(-38,18)

Step-by-step explanation:

Step: Solvex+3y=16for x:

x+3y+−3y=16+−3y(Add -3y to both sides)

x=−3y+16

Step: Substitute−3y+16forxin2x+5y=14:

2x+5y=14

2(−3y+16)+5y=14

−y+32=14(Simplify both sides of the equation)

−y+32+−32=14+−32(Add -32 to both sides)

−y=−18 Divide both sides by -1

y=18

Step: Substitute18foryinx=−3y+16:

x=−3y+16

x=(−3)(18)+16

x=−38

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: