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Sphinxa [80]
2 years ago
7

Solve the following systems of 3-variable linear equations.​50 points

Mathematics
1 answer:
Natali [406]2 years ago
7 0

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

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The answer is 2/3

or in decimal form: 0.6 repeated
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3 years ago
Which of the following functions has an inverse that is not a function?
Rainbow [258]

Answer:

f(x) = x(x - 1)

Step-by-step explanation:

The inverse of a quadratic function is not a function.

4 0
2 years ago
1. Rich wants to buy a coat priced at x dollars. It is on sale for 20% off. He must
alexandr1967 [171]

Answer: x-0.20x+0.0725x

Step-by-step explanation:

Let x be the price. 20% (0.20) 7.25% (0.0725)

x-0.20x+0.0725x

6 0
2 years ago
What is 11 1/2 + 10 11/16=
ahrayia [7]

Hey!



To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.


<em>Original Equation :</em>

11\frac{1}{2} + 10\frac{11}{16} = ?


<em>New Equation {Converted Mixed Numbers Into Improper Fractions} :</em>

\frac{23}{2} + \frac{171}{16} = ?


Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.


<em>Fraction Conversion :</em>

\frac{23*8}{2*8} = \frac{184}{16}


So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.


<em>Old Equation :</em>

\frac{23}{2} + \frac{171}{16} = ?


<em>New Equation {Input New Fraction With Common Denominator} :</em>

\frac{184}{16} +\frac{171}{16} = ?


<em>Solution {New Equation Solved} :</em>

\frac{355}{16}


Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.


<em>New Solution {Converted to a Mixed Number} :</em>

22\frac{3}{16}


Since the fraction cannot be simplified anymore, this should be our final answer.

<em>So, this means that the answer to the equation is </em> 22\frac{3}{16}.


Hope this helps!



- Lindsey Frazier ♥

5 0
3 years ago
Read 2 more answers
An online grocery store charges $0.10 per pound of produce for handling and delivery after
love history [14]

Answer:

They must buy 501 pounds of produce for the membership to be worth it.

Step-by-step explanation:

You can solve this question by first finding the difference between $0.10 and $0.25.

With some simple subtraction (0.25-0.10) we can find that the difference is that a non-membership person would pay $0.15 per pound.

You then divide 75 by 0.15 to find the extra weight it would take for the produce to equal $75. You should get 500 pounds.

At 500 pounds, the price would be equal if you had a membership or not.

You then must add 1 pound to make it more favorable to have the membership.

At 501 pounds the person with the membership would pay $125.10 and the person without the membership would pay $125.25

3 0
2 years ago
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