Question

Write a system of equations and solve using elimination. Ricardo has two bills. The two bills together are $21. One bill is worth $19 more than the other. What are the two bills?

Answer 1

The worth of one bill is $20 and the worth of the other bill is $1

Explanation:

Let

x----> the worth of one bill

y ---> the worth of the other bill

I assume x > y

we know that

x+y=21 ----> equation A

x=y+19 ---> equation B

Solve the system by elimination

Multiply equation B by -1 both sides

-x=-y-19 ----> equation C

Adds equation A and equation C

x+y=21

-x=-y-19

------------

y=21-y-19

2y=2

y=1

Find the value of x

x=y+19 -----> x=1+19=20

therefore

The worth of one bill is $20 and the worth of the other bill is $1