Explanation:
let,
cost of 1 notebook be x
and , cost of 1 package of Pens be y
so, a/q
4 books = 4x
and 3 package of Pens = 3y
so, the equation is
4x + 3y = $7.43 ----------- (eqⁿ 1)
and,
5 notebooks = 5x
2 packages = 2y
so, the equation is
5x + 2y = $7.03 ------------ (eqⁿ 2)
now,
multiply (eqⁿ 1) by 5 and (eqⁿ 2) by 4
so, we got
20x + 15y = $37.15 --------- (eqⁿ 3)
and
20x + 8y = $28.12 ------------ (eqⁿ 4)
now,
subtract (eqⁿ 4) from (eqⁿ 3)
we got,
7y = $4.03
→ y = 4.03/7 = $1.29
therefore,
→ 4x + 3(1.29) = $7.43
→ 4x + 3.87 = $7.43
→ 4x = 7.43 - 3.87 = 3.56
→ x = 3.56/4 = 0.89
→ x = $0.89
therefore, cost of one notebook is $0.89
hope this answer helps you dear...take care and may u have a great day ahead!