Answer: The system of equations
x = y + 7
3x + 2y = 96
Solution: 22, 15
Step-by-step explanation:
Set up the facts (use "=" in place of verbs like "has" or "is") Leonard x, Liam y.
x = y + 7 and 3x + 2y = 96.
There is a nice value for (x) that you can <u>substitute</u>: x =<u> y + 7</u>. So use that value to rewrite the second equation:
3(y+7) + 2y = 96 Distribute and add like terms
3y + 21 + 2y = 96 becomes 5y + 21 = 96 subtract 21 from both sides
5y = 96 - 21 becomes 5y = 75. Divide both sides by 5.
<u>y = 15.</u> Substitute 15 in place of y in the first equation and solve for x.
x = 15 + 7 So<u> x = 22</u>
Leonard has 22 cars, Liam has 15.