I showed the solution and the answer on a piece of paper in the photo
Let


in this problem
f(x)=g(x)
so

using a graph tool
the solution is the intersection of both graphs
see the attached figure
the solutions are
x=-1.89
x=2.66
Answer:
<u>2 years old</u>
Step-by-step explanation:
Let Ellie's age ⇒⇒⇒ x
And Genya's age ⇒⇒⇒ y
∵ The sum of Ellie's age and Genya's age is 60
∴ x + y = 60 ⇒ (1)
∵ In six years, Genya will be eight times as old as Ellie
∴ (y + 6) = 8 (x+6)
∴ y + 6 = 8x + 48 subtract 6 from both sides
∴ y = 8x + 42 ⇒ (2)
By substituting from 2 at 1 with the value of y
∴ x + (8x + 42) = 60
∴ 9x = 60 - 42 = 18
∴ x = 18/9 = 2
∴ y = 60 - x = 58
So, Ellie's age now = 2 years old
And Genya's age = 58 years old
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Hi,
Answer should be letter B, since it is the one conclusion you get using both the law of detachment and the law of syllogism.