Marion is twice as old as judy. Six years agot Marion was three times as old as judy was then. Find the age of each girl now. Pls show work, I will give brainliest

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  Marion is 24, Judy is 12

Step-by-step explanation:

Let j represent Judy's age now. 6 year ago, the relation was ...

  3(j -6) = (2j) -6

  3j -18 = 2j -6 . . . . . eliminate parentheses

  j = 12 . . . . . . . . . . . add 18-2j

  2j = 24 . . . . . . . . . Marion's age now

Judy is 12; Marion is 24.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15