Question

Jamie is 5 years older than Ella. Jamie's age is 11 years less than three times Ella's age. The system below models the relationship between Jamie's age (j) and Ella's age (e):
j = e + 5
j = 3e – 11

Which of the following methods is correct to find Jamie's and Ella's age? (4 points)



Solve j + 5 = 3j – 11 to find the value of j.

Write the points where the graphs of the equations intersect the x-axis.

Write the points where the graphs of the equations intersect the y-axis.

Solve e + 5 = 3e – 11 to find the value of e.

Answer 1

The correct method is to use the equation

e + 5 = 3e - 11

on solving, we get e = 8 and j = 13

Other methods are complicated.

Answer 2

The correct answer is to solve e+5=3e-11 for e.