The variable x represents the number of long-sleeve shirts Nancy bought and the variable y represents the number of short-sleeve shirts she bought.Nancy bought 531 shirts for her business. She bought 2 times as many short-sleeve shirts as long-sleeve shirts.How many of each type of shirt did she buy?Which system of equations models this problem?{x−y=531y=2x{x+y=2y=531x{x+2y=531y=2x{x+y=531y=2x

Nancy bought 354 short sleeve shirts and 177 long sleeve shirts.Step-by-step explanation:Given,x represents the number of long sleeve shirtsy represents the number of short sleeve shirts According to given statement; x+y=531        Eqn 1x = 2y           Eqn 2Putting value of x from Eqn 2 in Eqn 1[tex]2y+y=531\\3y=531[/tex]Dividing both sides by 3[tex]\frac{3y}{3}=\frac{531}{3}\\y=177[/tex]Putting y=177 in Eqn 2[tex]x=2(177)\\x=354[/tex]Nancy bought 354 short sleeve shirts and 177 long sleeve shirts.Keywords: linear equation, substitution methodLearn more about substitution method at:brainly.com/question/12497249brainly.com/question/1251787#LearnwithBrainly