Solve this linear system. 2.4 = 0.3 x + 0.4y 5x = 2 + 6y a) x = 4; y = 3 b) x = 3; y = 4 c) x = 4; y = -3 d) x = -4; y = 3

A) x = 4; y = 3

Step-by-step explanation:

2.4 = 0.3x + 0.4y      

5x = 2 + 6y

0.3x + 0.4y = 2.4

5x - 6y = 2

0.4y = 6                   y = 6/0.4 = 15

15(0.3 + 0.4y) = 15(2.4)

4.5x+6y = 36                             0.3(4) + 0.4y = 2.4

5x - 6y = 2                                     1.2 + 0.4y = 2.4

(you add the two equations)        0.4y = 1.2

9.5x = 38

x = 4                                                  y = 3

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)