Gabby and Sydney bought some pens and pencils Gabby bought four pens and five pencils for $6.71 Sydney bought five pens and three pencils for $7.12 what’s the cost for each

Answer 1

4x + 5y = 6.71

5x + 3y = 7.12

multiply 2nd equation by 5 and 1st by 3, then subtract to eliminate y

25x+15 y = 35.60

12x + 15y = 20.13

13x = 15.47

x = 15.47/13 = $1,19 for a pen

3y = 7.12 -5(1.19) = 1.17

y= 1.17/3 = 39 cents for a pencil