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 . NextReset

Answer 1

Let x be the number of cars Liam has and y be the number of cars Leonard has.

The system of equations is
y=x+7
3y+2x=96

Using substitution, we will replace y in the second equation with x+7:
3(x+7)+2x=96

Use the distributive property;
3*x+3*7+2x=96
3x+21+2x=96

Combine like terms:
5x+21=96

Subtract 21 from both sides:
5x+21-21=96-21
5x=75

Divide both sides by 5:
5x/5 = 75/5
x = 15

Plug this back into the first equation:
y=x+7
y=15+7
y=22

Answer 2

drop box 1 - b drop box 2- c

Explanation: