Question

Manuel and Sonja are shopping for school supplies. Manuel is buying 5 notebooks and 3 pens at a cost of $21. Sonja is buying 6 notebooks and 5 pens at a cost of $28. The first equation, representing Manuel’s purchase, is 5 x + 3 y = 21. What is the second equation needed to solve the system?

Answer 1

6x + 5y = 28 (or $28).

Explanation:

Cost of 6 notebooks = 6x

Cost of 5 pens = 5y

Total cost of 6 notebooks and 5 pens = $28

So 6x + 5y = 28 will be the second equation

Answer 2

6x+5y=28

Explanation:

y=pens

x=notebooks