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3 years ago

SOLVE THR SIMULTANEOUS EQUATIONS 3X+Y=8X-3Y=11ANSWER PLEASE

Mathematics

1 answer:

maks197457 [2]3 years ago

3 0

Answer:

if you just wanted the equations fixed: y= -3x + 8 & y= 1/3x - 11/3

but if you wanted x then x = 7/2

Step-by-step explanation:

3x + y = 8 *subtract 3x from both sides*

y = -3x + 8

x - 3y = 11 *add 3y to both sides*

x = 3y + 11 subtract 11 from both sides*

x - 11 = 3y * divide both sides by 3*

1/3x - 11/3 = y --> y = 1/3x - 11/3

and to solve for x i just used ma thway but if you did want to solve it you'd need to put the equations equal to each other --> -3x + 8 = 1/3x - 11/3

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I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

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Step-by-step explanation:

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We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$