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
Mamont248 [21]
2 years ago
12

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40.

Mathematics
1 answer:
koban [17]2 years ago
5 0

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

 

First let’s define a shirt as X and pants as Y!

 

In the first scenario, the equation will be 3X + Y =$32

In the second scenario, the equation will be 2X + 3Y = $40  

 

Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

 

3X + Y= $32—> subtract 3X on both sides of the equation  

-3X.        - 3X

 

Net result: Y= 32- 3X

 

Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable  

 

2X + 3(32-3X) = $40

2X + 96 - 9X = $40 —> simplify the equation  

-7X + 96 = $40 —> substrate 96 from both sides  

-7X = -56 —> divide both sides by -7  

X= 8  

 

Now reinsert 8= X into 3X + Y = $32

3(8) + Y = $32

24+ Y = $32 —> substract 24 from both sides

y = 8

   

ANSWER: X= 8, Y= 8

If I am wrong I am sorry >_<

You might be interested in
PLEASE HELP! PLEASEE
Tasya [4]
Gdbensudmdmjeh chbdvyshh in cahgyzbwhh by h in uubb hv gibuduyhe d
4 0
3 years ago
What is the best answer to solution of x^2 + 16 = 0?​
kolezko [41]

Answer:

4. C. x = 4 or -4

Step-by-step explanation:

since both terms are perfect squares, factor using the difference of squares formula, a² - b² = ( a + b )  ( \alpha - b ) where

5 0
3 years ago
Plot two numbers on the numberline that are 7 units from 3<br><br> Is this correct?
dalvyx [7]

Answer:

-4 and 10

Step-by-step explanation:

It is 7 units from 3 not 3 the number itself

5 0
2 years ago
Read 2 more answers
Explain how to do this problem
Darina [25.2K]
The lines are parallel that mean that they both have a slope of 2 
3 0
2 years ago
a store buys a jacket for$20.00 and then sells it for 80% more what is the selling price for the jacket
victus00 [196]
Answer: 100$.

100% - 80% = 20%

20$ / 0.20(20%) =100$
7 0
3 years ago
Other questions:
  • Five added to one fourth q is the same as 4 more than q?
    6·1 answer
  • 06.01) Saturday morning there were 7 adults and 20 kids at Pump and Jump Land. The morning cash registers show $236 was collecte
    9·2 answers
  • How do you write a integer that best represents 23 degrees below zero.
    14·2 answers
  • The point (0,5) is reflected in the line y=x. what are the coordinates of the transformed point?
    15·1 answer
  • There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes
    14·1 answer
  • One number is eight more than twice another. If their sum is decreased by nine, the result is fourteen. Find the numbers
    8·1 answer
  • Which estimate best describes the area under the curve in square
    14·1 answer
  • Ranger simplified this expression.
    5·1 answer
  • What is 7,000,000 + 300,000 + 70,000 + 3,000 + 80 + 2 in standard form?
    13·2 answers
  • There are 50 books that are either red or blue. If 30 books are blue, what
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!