Solve the following quadratic-linear system of equations.

For this case we have a system of two equations with two unknowns.

To solve, we equate both equations:

We have a quadratic equation of the form:

Where:

Its roots are given by:

We have two roots:

Thus, we look for the values of y, by substituting any of the equations:

Option B

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)