James and Lin got married and got new jobs. Lin earns $3500 more per year than James. Together they earn $82,360. How much does each of them earn per year?

The answer to your question is:

James = $ 39430

Lin = $42930

Step-by-step explanation:

Data

Lin earns $3500 more per year than James

Together they earn $82360

Lin = L

James = J

L = J + 3500

L + J = 82360

J + 3500 + J = 82360

2J = 82360 - 3500

2J = 78860

J = 78860 / 2

J = $ 39430

L = 39430 + 3500

L = $42930

Let James' salary be x. This means Lin's salary is x + 3500.

James' salary (x) + Lin's salary (x + 3500) = the total salary of 82,360

x + (x + 3500) = 82,360

Combine like terms

2x + 3500 = 82,360

Subtract 3500 from both sides

2x = 78,860

Divide both sides by 2

x = 39,430

This is James salary. Lin's salary is 3500 more, which is 42,930.