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
Bumek [7]
2 years ago
9

Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

What is the cost of one eraser?
Mathematics
1 answer:
nirvana33 [79]2 years ago
7 0

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

Adding both equations:

7e=0.21  

e=0.03

Multiplying the first one by -4 and the second by 3

\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

Adding both equations:

-7p=-0.49

p=0.07  

Solution: Each pencil costs $0.07 and each eraser costs $0.03

You might be interested in
How do I solve this equation by completing the square. 4X^2 + 12x +5 = 21
Artyom0805 [142]
The Answer is: x1=-4 x2=1.
3 0
3 years ago
Please help me ill mark brainliest
Ivanshal [37]

Answer:

its C and 4.7x10 -5 was right

Step-by-step explanation:

6 0
2 years ago
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
yanalaym [24]
Factored form - x= -1/2, -5/4
3 0
3 years ago
Given the functions f(x) = 3x²+5x-8 and g(x) = 2x²+4x-9<br><br> Find f(x) + g(x) and g(x) -f(x)
evablogger [386]
F(x) + g(x) = 5x^2 + 9x - 17; g(x) -f(x) = -x^2 -x -1
4 0
3 years ago
I don't understand this
babunello [35]
Its DBC, cause two is in that point so you just find the answer choice with those three letters in the right order.
7 0
3 years ago
Read 2 more answers
Other questions:
  • A box has dimensions of 17 inches long.1.3 feet wide, and 8 inches high. What is the valine of the box? The formula for the volu
    8·1 answer
  • For what value of x does 4x=(1/8)x+5
    15·1 answer
  • Find the simplest interest. principal = $870 interest rate = 3% time = 9 months
    10·1 answer
  • A box in the shape of a triangular prism has a height of 9 feet. The base of the box has a length of 3 ft and a width of 7ft wha
    15·1 answer
  • Sarah makes 10% commission on houses she sells. She recently sold a house for $159,000. What would be Sarah's commission?
    14·2 answers
  • Using the diagram, which fraction is equivalent to 1?
    10·1 answer
  • 320% of 69 is what number?
    12·2 answers
  • Please help me I will give a brainlist​
    8·2 answers
  • A shelf is in the shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio 1:2:5 and
    10·1 answer
  • Rey paid $91 for a watch that was on sale for 30% off. Grace and Curtis were debating how much the original price was. Grace sai
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!