Question

The sum of Xander’s and Yasmin’s ages is 67. Yasmin’s age is three times Xander’s age increased by 7. Which of the following represents the solution to the system of linear equations that represents this scenario, where x is Xander’s age and y is Yasmin’s age?(1 point)
Responses

(18.5,48.5)
left parenthesis 18.5 comma 48.5 right parenthesis

(52,15)
left parenthesis 52 comma 15 right parenthesis

(20,47)
left parenthesis 20 comma 47 right parenthesis

(15,52)

Answer 1

Let x = Xander’s age and y = Yasmin’s age.

x + y = 67
y = 3x + 7

Substitute: x + (3x + 7) = 67 → 4x + 7 = 67 → 4x = 60 → x = 15.
y = 3(15) + 7 = 52.

Answer: (15, 52).