Ask question

Ask question

All categories

4 years ago

14

Solve this equation using elimination: 4x-y=8;6x+y=2

1 answer:

fomenos4 years ago

7 0

Solve simultaneously.

4x - y = 8
6x + y = 2

Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8

Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.

Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7

You might be interested in

Felix is printing orange and green forms. he notices that 9 orange forms fit on a page, and 10 green forms fit on a page. if Fel

pochemuha

The maximum number for each should 20! :)

8 0

3 years ago

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

4 0

3 years ago

Read 2 more answers

The warriors led the chieftains by 19 points at the half. If the warriors score 3 points every 2 points the chieftains scored, w

kari74 [83]

Answer:

57:38

Step-by-step explanation:

3/2(19):x

3:2

3x = 2 * 3/2 * 19

3x = 57

x = 19

Since the ratio is 3:2, then the scores at half-time were 57:38

6 0

3 years ago

Nick and eddie are both thinking of a number. Eddies number is 3/7 of nicks number. There is a difference of 52 between their tw

joja [24]

Answer:

nick's number = 91

eddie's number = 39

Step-by-step explanation:

n = nick's number

$\frac{3}{7}$ n = eddie's number

$\frac{7}{7}$ n - $\frac{3}{7}$ n = 52

$\frac{4}{7}$ n = 52

cross-multiply: 4n = 52(7)

4n = 364

n = 364/4 = 91

eddie's number: $\frac{3}{7}$ · 91 = 273/7 = 39

3 0

3 years ago

What is the answer?

kenny6666 [7]

Answer:

food

Step-by-step explanation:

foodsdffguioipo[p

p-oiugyuhopj[]\[7][pojihjpouuytrdsgtdyuiop[u;ytgkfjdtyfui0-=p=oiop[]

8 0

3 years ago