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 n
otebooks 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? 5 x minus 6 y = 28 6 x minus 5 y = 28 5 x + 6 y = 28 6 x + 5 y = 28
Looking at the first equation, we can tell that x stands for notebooks and y stand for pens. Since this talks about the total cost with the amount of products they bought, we can automatically eliminate the subtracting answer choices.
Now, we know that 6x+57=28 is the correct answer because Sonja bought 6 notebooks and 5 pens. This becomes 6x+5y.
