1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksklad [387]
3 years ago
7

Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Le

onard 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 .
Mathematics
2 answers:
gladu [14]3 years ago
7 0
In order to find the solution of the system we need to solve:
x = y+7
3x+2y=96

where x = number of cars that Leonard has
and y = number of Liam's cars

3(y+7)+27=96
3y+21+27=96
3y+48=96
3y=48
y=16
x=16+7=23
dimulka [17.4K]3 years ago
5 0

Answer: The answer is (22, 15).

Step-by-step explanation:  Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.

Then, according to the given information, we have

x-y=7,\\\\3x+2y=96.

Multiplying the first equation by 2 and adding to the second equation, we have

2x+3x=14+96\\\\\Rightarrow 5x=110\\\\\Rightarrow x=22.

So,

y=x-7=22-7=15.

Therefore, Leonard has 22 cars and Liam has 15 cars.

Thus, (22, 15) is the solution to the given system.

You might be interested in
What percentage is 650 m to 4 km.
Nina [5.8K]

Answer: 16.25%

Step-by-step explanation:

Change
650m = 0.65 km

Convert into percentage 0.65/ 4 x 100 = 16.25

3 0
2 years ago
What is the value of x in the equation 3x-5=1/2x+2x
Drupady [299]

Answer:

exact form: x= 11/2

Decimal Form

X= 5.5

Mixed form

X= 5 1/2

Step-by-step explanation:

8 0
2 years ago
5x-6=24<br> What’s the answer
Ad libitum [116K]

Answer:

x = 6

Step-by-step explanation:

5x = 24 + 6

5x = 30

5x/5 = 30/5

x = 6

6 0
3 years ago
Read 2 more answers
it takes Elizabeth 15 minutes to walk 5 blocks. at that rate, how many minutes will it take her to walk 30 blocks?
slavikrds [6]
90 minutes or 1 1/2 Hours.
5 0
3 years ago
Read 2 more answers
Branliest to correct answer explain how you got your answer please
Nutka1998 [239]
10.7%

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%
= 10.7%
4 0
3 years ago
Other questions:
  • If a triangle has sides that are 21 and 6 what is the range for third side x?
    11·1 answer
  • Help help help! I need theses answers QUICK
    15·1 answer
  • Q5 Q5.) Use the​ (x,y) coordinates in the figure to find the value of the trigonometric function at the indicated real​ number,
    9·2 answers
  • Solve for 7 + y = -2 -3x
    14·2 answers
  • (will mark brainliest if correct)
    14·1 answer
  • Find the area of this shape. The area of this shape is _______ square centimeters.
    5·2 answers
  • The area of the rectangular computer chip is 112a3b2 square microns. Write a simplified expression that represents the length. T
    15·1 answer
  • What is the area of this shape?(look at picture)
    5·2 answers
  • Find the measure of arc x
    10·1 answer
  • Will give Brainly! Need help!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!