One number is 6 more than another. the sum of the numbers is 30. find the numbers.

Two equations, x + 6 = y and x + y = 30.

Substitution proves that the numbers are 12 and 18.

y = x + 6

x + (x + 6) = 30

2x + 6 = 30

2x = 24

x = 12

Put into an equation...

x + 6 = y

12 + 6 = y

y = 18

This proves that the numbers are 12 and 18.

⭐ Answered by Hyperrspace (Ace) ⭐

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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)