Answer:
The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked
Step-by-step explanation:
Assume that Caleb worked for x hours and Landon worked for y hours
∵ Caleb worked for x hours
∵ Landon worked for y hours
∵ Caleb worked 2 more hours than Landon
→ That means Caleb hours = Landon hours + 2
∴ x = y + 2
→ Subtract y from both sides
∴ x - y = 2 ⇒ (1)
∵ Caleb can iron 30 shirts per hour
∵ Landon can iron 15 shirts per hour
∵ They ironed 330 shirts between them
→ Multiply x by 30 and y by 15, then equate their sum by 330
∴ 30x + 15y = 330
→ Divide both sides by 15 to simplify the equation
∴ 2x + y = 22 ⇒ (2)
The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked
