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John is twice as old as Mary. The sum of their ages is 21. How old is Mary? Let J = John's age and M = Mary's age. Select the system equations that represents the problem.
J - 2M = 0
M - 2J = 0
J + M = 21
J = M + 2

Respuesta :

Equanimity
J = 2m
J + M = 21
J + M = 21 is your answer.
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ANSWER

The system of equations are,

[tex]J - 2M = 0[/tex]
and

[tex]J + M = 21[/tex]

EXPLANATION

Let J = John's age and M = Mary's age

The first statement says,

"John is twice as old as Mary."

We can write this mathematically as,

[tex]J = 2M [/tex]

or

[tex]J - 2M = 0...eqn1[/tex]

The second statement says,

"the sum of their ages is 21." Mathematically, we can write this one too as,

[tex]J + M = 21...eqn2[/tex]

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