Explanation:
let ,
pencil be x and ruler be y
so for Janet equation is
9x + 2y = £3.60 ← (eqⁿ 1)
for John
13x + 3y = £5.30 ← (eqⁿ 2)
now, multiply (eqⁿ 1) by 3 and (eqⁿ 2) by 2 so we got,
27x + 6y = 10.80 ← (eqⁿ 3)
and
26x + 6y = 10.60 ← (eqⁿ 4)
now, subtract (eqⁿ 4) from (eqⁿ 3) we got,
x = 0.2
since we got the value of x than let's find value of y
(eqⁿ 1)
→ 9(0.2) + 2y = 3.60
→ 1.8 + 2y = 3.60
→ 2y = 3.6 - 1.8 = 1.8
→ y = 1.8/2 = 0.9 ans.
therefore , x = £0.2 and y = £0.9
hence, value of pencil = £0.2 and ruler = £0.9.
hope this answer helps you dear...take care and may u have a great day ahead!