At raging river sports, polyester fill sleeping bags sell for $79. Down fill sleeping bags sell for $149. In one week the store sold 14 sleeping bags for $1456. How many of each were sold using system of equation multiplying and subtracting.

9 Polyester fill and 5 down fill sleeping bags were sold.Step-by-step explanation:Let, Polyester fill sleeping bags = xDown fill sleeping bags = yPrice of 1 polyester fill bag = $79Price of 1 down fill bag = $149According to given statement;x+y=14   Eqn 179x+149y=1456   Eqn 2Multiplying Eqn 1 by 79[tex]79(x+y=14)\\79x+79y=1106\ \ \ Eqn 3\\[/tex]Subtracting Eqn 3 from Eqn 2[tex](79x+149y)-(79x+79y)=1456-1106\\79x+149y-79x-79y=350\\70y=350[/tex]Dividing both sides by 70[tex]\frac{70y}{70}=\frac{350}{70}\\y=5[/tex]Putting y=5 in Eqn 1[tex]x+5=14\\x=14-5\\x=9\\[/tex]9 Polyester fill and 5 down fill sleeping bags were sold.Keywords: Linear equations, subtractionLearn more about linear equations at:brainly.com/question/5922969brainly.com/question/6013189#LearnwithBrainly