Question

Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Leonard has and two times the number of cars Liam has add up to 96. The system of linear equations that relates the number of cars Leonard has (x) and the number of cars Liam has (y) is . The solution of this system is .

Answer 1

x = Leonard, y = Liam
x = y + 7
3x + 2y = 96

now we sub
3(y + 7) + 2y = 96
3y + 21 + 2y = 96
5y = 96 - 21
5y = 75
y = 15

x = y + 7
x = 15 + 7
x = 22

Liam has 15 and Leonard has 22.