What is the solution to the system of equations?
y = –3x – 2
5x + 2y = 15

x = -19

y = 55

Step-by-step explanation:

Given:

y = –3x – 2 (rearrange)

3x + y = -2 > eq1

5x + 2y = 15 > eq2

multiply eq1 by 2:

6x + 2y = -4 > eq 3

By elimination: subtract eq2 from eq 3

( 6x + 2y) - (5x+2y) = -4 - 15

x = -19  (Answer)

substitute x = -19 into eq1

3(-19) + y = -2

-57 + y = -2

y = -2 + 57 = 55 (Answer)

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:

its a straight line parallel to the time axis