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zmey [24]
3 years ago
15

What is the solution to the following system? x+y+z=6 x-y+z=8 x+y-z=0

Mathematics
2 answers:
Ghella [55]3 years ago
4 0
I don't really know if this is correct but I think it is x+y+z=14
Gnoma [55]3 years ago
3 0
Subtract the second equation from the first equation :

The xs and zs would cancel. On the left side, y–(-y)=2y. On the right side, 6–8=-2

We're left with 2y=-2
Divide both sides by 2:
Y=-1

Subtract the third equation from the second equation. The xs would cancel again. -y–y=-2y and z–(-z)=2z. So on the left side we have -2y+2z and on the right side, 8-0=8.

We get -2y+2z=8.
Plug in -1 for y:
-2(-1)+2z=8
2+2z=8
Subtract 2 from both sides:
2z=6
Divide both sides by 2:
Z=3

Plug in -1 for y and 3 for z into the first equation:
X+(-1)+3=6

Solve for x:
X+2=6
Subtract 2 from both sides:
X=4

Hope this helps! :)









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Which of these is the graph of −2−3i ?
Sav [38]

Answer:

-2-3i  in the complex plane would be 2 units to the right of the origin and

3 units below the Real number line.

Step-by-step explanation:

Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.

3 0
3 years ago
You roll five number cubes and the numbers rolled are 1,2, 3, 4, and 5. Are the events independent? Explain.
trasher [3.6K]
Answer: B

Explanation

When rolling a dice, no matter how many times you get an outcome, it can never determine the exact outcome of the next roll, hence it is termed an independent event.

Hope this helps :)
5 0
3 years ago
In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring t
sveticcg [70]

The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).

Sample size, n=400

Sample proportion, p = 40 / 400

= 0.1

We use normal approximation, for this, we check that both np and n(1-p) >5.

Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n )

= 0.015

For constructing Confidence interval,

Margin of Error (ME) =  z x SD = 0.0294

95% confidence interval is given by Sample Mean +/- (Margin of Error)

0.1 +/- 0.0294 = (0.0706 , 0.1294)

Learn more about Margin of Error here brainly.com/question/15691460

#SPJ4

5 0
1 year ago
Solve for x & round the answer to the nearest tenth
diamong [38]
6/14 = 7/x
so
x = 7 * 14 / 6 
x = 98/6
x = 16.3

answer
D. x = 16.3



3 0
3 years ago
Read 2 more answers
Please help due today
Masteriza [31]

Answer:

tengo

Step-by-step explanation:

6 0
3 years ago
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