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
Natalka [10]
3 years ago
6

6x-5y=10.5 5x-3y= -2 Solve by elimination method

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Step-by-step explanation:

Given,

6x - 5y = 10.5 .............. (1)

5x - 3y = -2 .................. (2)

Multiplying eq (1) by 3 and (2) by 5 then subtracting,

18x - 15y = 31.5

(-) 25x - 15y = -10

-----------------------------

-7x = 41.5

x = - 41.5 / 7 = -83 / 14

Inserting the value of x in eq (2)

5 * (-83 / 14) - 3y = -2

y = -129 / 14

x = -83 /14 and y = -129 /14

You might be interested in
Solve for x<br><br> x to the power of 2 = 0.49
Ainat [17]

Answer:

Stop asking others for the answer little girl, and do the work yourself

4 0
3 years ago
Read 2 more answers
Two times a number is at least 42
pantera1 [17]

Answer:21

Step-by-step explanation:2x21=42

4 0
3 years ago
Read 2 more answers
A tank contains 15,000 L of brine with 24 kg of dissolved salt. Pure water enters the tank at a rate of 150 L/min. The solution
Mashutka [201]

Answer:

Step-by-step explanation:

Let y(t) be the amount of salt in the tank after time t.

(A) Incoming rate = 0 (due to Pure water having no salt)

(B) Mixed solution comes out at 150 L/min. Initially the tank has 15,000 L of brine with 24 kg of salt.

concentration of salt at time t  = y(t) / 15000 kg/L

Outgoing rate = y(t)/15000 * 150 = y(t) / 100

(C) we know that,

\frac{dy}{dx} =(incoming\ rate) - (outgoing\ rate)

\frac{dy}{dx} =0-\frac{y(t)}{100} = \frac{-y(t)}{100}

Separate variable and integrate

\int {\frac{dy}{y} } = - \int {\frac{1}{100} } \, dt

ln|y|=-\frac{1}{100}t + D

y=e^{D} e^{\frac{-t}{100} }

y= Ce^{\frac{-t}{100} }\  [C=e^{D} ]

At t= 0 , y(0) = 24 kg

24=C\ e^{0}

C= 24

(D) Therefore, the amount of salt in the tank after time t :

y(t)=24e^{\frac{-t}{100} }\  kg

6 0
4 years ago
Find the constant rate of change for the linear function and interpret its meaning
Elena L [17]
The constant rate of change is 4 and this means that you make 4 dollars profit per tshirt
8 0
4 years ago
Please give a real answer. What is the surface area of this composite figure?
dusya [7]

Answer:

<h2>           268 cm²</h2>

Step-by-step explanation:

<h2>10\cdot7+7\cdot8+2\cdot(\frac12\cdot8\cdot6)+2\cdot(2\cdot6)+2\cdot(2\cdot7)+6\cdot7=\\\\=70+56+48+24+28+42=268</h2>
3 0
3 years ago
Other questions:
  • 15+5n+-5n-5-on<br><br> NEED HELP!
    11·2 answers
  • 73 cubed root lies between which two integers
    9·2 answers
  • Peyton reads 25 pages in 1/2 hour. Which equation below represents the relationship between the number of pages Peyton reads and
    12·2 answers
  • If beginning inventory at cost was $12,000.00, ending inventory at cost $10,4000.00, and the cost of goods sold $18,000.00, what
    8·1 answer
  • 1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born
    9·1 answer
  • Point A lies on the circle and has an x-coordinate of -3.
    6·1 answer
  • Plzzzz I need the answer
    10·1 answer
  • 2x squared times x squared
    13·1 answer
  • Help text math XD thank you
    12·2 answers
  • Help Please . its due in 5 hours and i cant find answers
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!