How do i figure out how to find the solutions to the system of equations

This system of equations has no solution.

Step-by-step explanation:

Solving a system of equations can be done using a few different methods.  Since your second equation is already solved for 'y', you can substitute this expression (-x + 3) for the value of 'y' in the first equation:

2x + 4(-x + 3) = 10

Distribute:  2x - 2x + 12 = 10

Combine like terms:  0 + 12 = 10 or 12 ≠ 10

Since the variables cancel out and 12 ≠ 10, there are no solutions to this system.  

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

it is a secret for it not to be compromised sorry

step-by-step explanation: