James and lin got married and got new jobs. Lin earns $3100 more per year than James. Together they earn $82,000 How much does each of them earn per year?
Let
x ----> amount earned by James
y ----> amount earned by Lin
we have
x+y=82,000 -----> equation A
y=x+3,100 -----> equation B
solve the system
substitute equation B in equation A
x+(x+3,100)=82,000
2x+3,100=82,000
2x=82,000-3,100
2x=78,900
x=39,450
Find the value of y
y=39,450+3,100
y=42,550
therefore
amount earned by James is $39,450
amount earned by Lin is $42,550