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3 years ago

How many solutions does the system of equations have? 6x+y=2 -18x+3y=12

2 answers:

6 0

There will be one solution. To solve that:
1. Get the y alone by switching the places.
6x+y=2 > y=2-6x
-18x+3y=12 > 3y=12-18x > Then divide 3 on each number > y=4-6x
After doing that, you can solve this in graphing or algebra way.

Ima do the algebra way:

SO we have 2 system of equations. Now pick one equestion.
I will pick, y=2-6x. Now Ima replace the Y with the other equation y=4-6x >
4-6x=2-6x.

Now solve. And get > 0 aka Infinite Solution.

kenny6666 [7]3 years ago

6 0

See if they are paralell, if they are, there are no solutions
thn see if they are the same line, if they are, there is infinite soutions

so

6x+1y=2
-18x+3y=12
divide 2nd equation by -3
6x-y=4

compare
6x+y=2 and
6x-y=4
they are actually perpenduclar
mean 1 soltuions

if yo wantedsoltion
add

6x+y=2
<u>6x-y=4 +</u>
12x+0y=6
12x=6
x=1/2

6x+y=2
6(1/2)+y=2
3+y=2
y=-1

x=1/2
y=-1
(1/2,-1)
1 soluiton

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4 years ago

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3 years ago

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A crew will arrive in one week and begin filming a city for a movie the mayor is desparate to clean the city streets before film

Nonamiya [84]

Answer:

a.323.03hrs,

b.No. Time not enough

Step-by-step explanation:

One team takes $\frac{1}{600}$ of the job per hour,

Team two takes $\frac{1}{700}$ of the job together.

#to get what times it takes the two to clean together, we find the LCM of their work rates:

$LCM=\frac{1}{600}+\frac{1}{700}\\=\frac{13}{4200}\\$ #It takes the two13/4200 of the job per hour.

Combined work rate is thus $4200\div 13=323.08hrs$

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b.The crew team is set to begin in 1 week(7days). We therefore convert our time into days/weeks to verify viability;

Since one day equals 24hrs, the team will take

$323.03/24=13.46days$

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3 years ago

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Arlecino [84]

The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

<h3>How to interpret the discriminant?</h3>

The equation is given as:

0 = -2x^2 + 3

Rewrite as:

-2x^2 + 3 = 0

The discriminant of an equation is calculated using:

D = B^2 - 4AC

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A = -2

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So, we have:

D = (0)^2 - 4 * -2 * 3

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When the discriminant is 0 or more, then the equation has real roots

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Read more about quadratic functions at:

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2 years ago