Two customers went to a post office to buy postcards and large envelopes. Each postcardcosts the same amount, and each large envelope costs the same amount.The first customer paid $12 for 14 postcards and 5 large envelopes.The second customer paid $24.80 for 10 postcards and 15 large envelopes.•What was the cost in dollars of each large envelope?A $1.42 c $1.15B $0.35 D $0.63

The right answer is Option A.Step-by-step explanation:Let, x be the postcardsy be the large envelopsAccording to given statement; 14x+5y=12   Eqn 110x+15y=24.80   Eqn 2Multiplying Eqn 1 by 3;[tex]3(14x+5y=12)\\42x+15y=36\ \ \ Eqn \ 3[/tex]Subtracting Eqn 2 from Eqn 3;[tex](42x+15y)-(10x+15y)=36-24.80\\42x+15y-10x-15y=11.20\\32x=11.20\\[/tex]Dividing both sides by 32[tex]\frac{32x}{32}=\frac{11.20}{32}\\x=0.35[/tex]Putting x=0.35 in Eqn 1;[tex]14(0.35)+5y=12\\4.90+5y=12\\5y=12-4.90\\5y=7.10[/tex]Dividing both sides by 5[tex]\frac{5y}{5}=\frac{7.10}{5}\\y=1.42[/tex]Therefore, one large envelope costs $1.42The right answer is Option A.Keywords: linear equations, subtractionLearn more about linear equations at:brainly.com/question/9738996brainly.com/question/10015690#LearnwithBrainly