All categories

3 years ago

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

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

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

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:

Step-by-step explanation:

3 0

3 years ago