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Vikentia [17]
3 years ago
13

What is the solution to the system of equations? ⎧⎩⎨⎪⎪x+3y−z=24x+2y+5z=13x+z=12 (−4, 1, −3) (3, 0, 3) (5, −2, −3) (−1, 2, 3)

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
<h3>Answer:</h3>

(5, -2, -3)

<h3>Explanation:</h3>

We assume your equations are ...

  • x +3y -z = 2
  • 4x +2y +5z = 1
  • 3x +0y +z = 12

These have solution (x, y, z) = (5, -2, -3).

_____

<em>How we know</em>

Trying the choices in the last equation eliminates the first and last. Trying the second choice in the first equation eliminates it, leaving the 3rd choice as the answer you're looking for.

We also know because we can ask a graphing calculator to solve the matrix equation (or row-reduce the augmented matrix).

<em>Comment on this problem</em>

The hardest part of this problem is figuring your intent. The equations are not well-separated, so we have a hard time telling what is a constant and what is a coefficient. It took a couple of guesses to sort it out. A little editing before posting would be helpful.

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dori lives 1/4 Mile from school if she walks to and from school each day how far does Dori walk during the school week
Arturiano [62]

Answer:

7/2 miles or 3 2/4 miles

Step-by-step explanation:

5 0
2 years ago
Find the value of x in the isosceles triangle shown below
egoroff_w [7]

Answer:

x = 10

Step-by-step explanation:

if there 2 same triangle then they are right triangle

By using Pythagorean theorem for 1 of right triangle, we have

\sqrt{74} ^{2} = 7^{2} + (\frac{x}{2}) ^{2}

74 = 49 + \frac{x^{2}}{4}

74 - 49 = \frac{x^{2}}{4}

25 = \frac{x^{2}}{4}

therefore, x = \sqrt{25*4} = \sqrt{100} = 10

6 0
2 years ago
Read 2 more answers
the utility bill for the Millers home was it in April with $132 42% of the bill was for gas and the rest for electricity how muc
Anit [1.1K]
In the given question, there are several data of immense importance. based on these data's the answer to the question can be easily deduced. it is already given that the total utility bill for the month of April in Millers house is $132 and 42% of the bill was paid for gas. remaining amount is paid as electricity charges.
Now
Amount of money paid for gas = 132 * (42/100) dollars
                                                  = 5544/100 dollars
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Then
The amount of money paid for electricity = (132 - 55.44) dollars
                                                                   = 76.56 dollars
So the Millers paid 55.44 dollars for gas and 76.56 dollars for electricity in the month of April.
6 0
3 years ago
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Cameron ran 3.8 miles per every 1.9 miles that Samantha ran and if Samantha and 7.6 miles how far did Cameron run
bija089 [108]
3.8 / 1.9 = x / 7.6....3,8 miles to 1.9 miles = x miles to 7.6 miles
cross multiply
(1.9)(x) = (3.8)(7.6)
1.9x = 28.88
x = 28.88 / 1.9
x = 15.2 <== Cameron ran 15.2 miles
8 0
3 years ago
Need help asap do tonight
aalyn [17]

Answer:

answer and explanation below

Step-by-step explanation:

2.m<x=75(angle on the same line so 180-105)

  m<y=105 (vertical angles of the parallelogram are equal)

 m<z=75 ( vertical angle of m<x)

3.M<y = 25 ( vertical angle property)

m<z=155( on the same line)

m<z and M,x =155( vertical angles )

8 0
3 years ago
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