All categories

3 years ago

Solve the following system of equations and select the correct answer below:

1 answer:

5 0

3x + 3y + 2z = -5 ⇒ 3x + 3y + 2z = -5 ⇒ 3x + 3y + 2z =   -5
1x + 1y + 3z = -4 ⇒ 1x + 1y + 3z = -4 ⇒ 3x + 3y + 9z = -12
3x - 1y + 5z = -8 -7z = 7
-7 -7
  z = -1
3x + 3y + 2z = -5
1x + 1y + 3z = -4 ⇒ 1x + 1y + 3z = -4
3x - 1y + 5z = -8 ⇒ 3x - 1y + 5z = -8
4x + 8z = -12

4x + 8z = -12
4x + 8(-1) = -12
4x - 8 = -12
+ 8 + 8
4x = -4
4 4
x = -1

  3x + 3y + 2z = -5
3(-1) + 3y + 2(-1) = -5
-3 + 3y - 2 = -5
3y - 3 - 2 = -5
  3y - 5 = -5
+ 5 + 5
3y = 0
3 3
(x, y, z) = (-1, 0, -1)

You might be interested in

The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they travel

olga_2 [115]

Answer:

$\frac{11}{20}$

On the first day, they traveled 30 percents of the total distance. On the second day they traveled one fourth of the total distance. One fourth converted into percentage is 25 percent. Then you add 30 plus 25 because that is the to a

total distance that Murphy's family traveled for 2 days. It will be 55 percents, and you convert 55 percents into fraction will be 55/100, and you simplify it, will be 11/20.

7 0

3 years ago

Hi uwu pls help me?? i really need it :'( dont make me cry

densk [106]

Answer:

4z-(3z) z

Step-by-step explanation:

I hope that helps

8 0

3 years ago

What is the volume of a cone with a radius of 2 and a height of 19?

kykrilka [37]

Remember that the cone volume formula is $V=\pi r^2\frac{h}{3}$ , with r = radius and h = height. Using our information, we can form our equation as such: $V=\pi 2^2\frac{19}{3}$ (I'll be keeping the answer in pi form.)

Firstly, solve the exponents: $V=\pi 4\frac{19}{3}$

Next, multiply 4 and 19/3 together and your answer should be (rounded to the hundreths): V = 25.33π un^3

5 0

3 years ago

Read 2 more answers

The police department of a city with a population of 250000 wants to know how many residents wear their seatbelts regularly. whi

Alex Ar [27]

A 2500 you want the biggest sample size possible for more accurate results

4 0

2 years ago

Read 2 more answers

Which statement describes if there is an extraneous solution to the equation √x-3 = x-5? A. there are no solutions to the equati

Brrunno [24]

Remember that an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.

Lets solve our equation to find out what is the extraneous solution:
 $\sqrt{x-3} =x-5$
$(\sqrt{x-3})^2 =(x-5)^2$
$x-3=x^2-10x+25$
$x^2-11x+28=0$
$(x-4)(x-7)=0$
$x-4=0$ and $x-7=0$
$x=4$ and $x=7$

So, the solutions of our equation are $x=4$ and $x=7$ . Lets replace each solution in our original equation to check if they are valid solutions:
- For $x=7$
$\sqrt{x-3} =x-5$
$\sqrt{7-3} =7-5$
$\sqrt{4} =2$
$2=2$
We can conclude that 7 is a valid solution of the equation.

- For $x=4$
$\sqrt{x-3} =x-5$
$\sqrt{4-3} =4-5$
$\sqrt{1} =1$
$1 \neq 1$
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.

We can conclude that the correct answer is: D. the extraneous solution is x = 4

7 0

2 years ago