Question

(08.06)

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?

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

D

Explanation:

took the test and got it right

Answer 2

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

Explanation:

Let

j------> Jamie's age

e----> Ella's age

we know that

`j=e+5` -----> equation A

`j=3e-11` -----> equation B

equate equation A and equation B and solve for e

`e+5=3e-11`

`3e-e=5+11`

`2e=16`

`e=8`

Find the value of j

`j=8+5=13`

Jamie's age is 13 years old

Ella's age is 8 years old