Respuesta :
Answer:
x is equal to 12
Step-by-step explanation:
let maggie's age be x and her brother's, y
3x-7=y ~eqn 1
x+y=41 ~eqn 2
put equation 1into equation 2
x+y=41
x+ 3x-7=41
4x=41+7
4x=48
x=48/4
x= 12
Maggie is 12 years old
Further explanation
To solve this problem, first step would be create two variables, x and y as follow:
x = Maggie's age
y = Her brother's age
From the problem above we can make two equations which are
y = 3x - 7 ⇒ first equation
x + y = 41 ⇒ second equation
Then the next step, we will substitute the first equation (y = 3x - 7) into second equation (x + y = 41)
x + (3x -7) = 41
x + 3x - 7 = 41
4x = 48
x = 12
So, Maggie's age is 12 years old, while her brother is 29 years old
Learn more
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Keywords: substitution, linear program, calculate age