Two markers

Two markers and one eraser cost 35 pesos, and three markers and four erasers cost 65 pesos. Find the cost of a marker and an eraser.

Correct answer:

e =  5
m =  15

Step-by-step explanation:


2m+e=35
3m+4e=65

2·m+e=35
3·m+4·e=65

e+2m = 35
4e+3m = 65

Pivot: Row 1 ↔ Row 2
4e+3m = 65
e+2m = 35

Row 2 - 1/4 · Row 1 → Row 2
4e+3m = 65
1.25m = 18.75


m = 18.75/1.25 = 15
e = 65-3m/4 = 65-3 · 15/4 = 5

e = 5
m = 15

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