Question Introduce the variables and set up the system of equations: Rafael and Lucas go to the mall. The two of them buy a total of 15 t-shirts. Rafael gets 3 less than twice as many t-shirts than Lucas. How many t-shirts did ea￼￼ch of them get?

Answer: lucas = 9 rafael = 6 Step-by-step explanation: two equations can be derived from the question r + l = 15 equation 1 r = l – 3 equation 2 r = rafael l = lucas substitute for r in equation 1 l – 3 + l = 15 combine similar terms l + l = 15 + 3 2l = 18 l = 9 substitute for l in equation 1 r + 9 = 15 r = 15 – 9 r = 6 Log in to Reply

Answer:lucas = 9

rafael = 6

Step-by-step explanation:two equations can be derived from the question

r + l = 15 equation 1

r = l – 3 equation 2

r = rafael

l = lucas

substitute for r in equation 1

l – 3 + l = 15

combine similar terms

l + l = 15 + 3

2l = 18

l = 9

substitute for l in equation 1

r + 9 = 15

r = 15 – 9

r = 6