Solve the following system of equations. 4y+3z=-7
12x-3y+z=-7
-6x+2y-2z=12

Answers

Answer 1

Step-by-step explanation:

12x-3y+z=-7 ‖-12x+3y

z=-7-12x+3y

so you can replace z with (-7-12x+3y)

4y+3*(-7-12x+3y)=-7

4y+(-21-36x+9y)=-7

13y-21-36x=-7 ‖+21

13y-36x=14 ‖-13y

-36x=14-13y ‖*(-1)

36x=-14+13y ‖/3

12x=-14/3+13/3y

so-6x=+14/6-13/6y

(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)=12

(+14/6-13/6y)+2y+14-28/3+26/3y-6y=12

(+14/6-13/6y)+2y+14-56/6+52/6y-6y=12

7+2.5y=12 ‖-7

2.5y=5 ‖/2.5

y=2

so

4y+3z=-7

4*2+3z=-7

8+3z=-7 ‖-8

3z=-15 ‖/3

z=-5

12x-3*2+(-5)=-7

12x-6-5=-7

12x-11=-7 ‖+11

12x=4 ‖/12

x=1/3


Related Questions

Help

Please help find b

Answers

Answer:

70°

Step-by-step explanation:

1. the rule is: m(∠1)+m(∠2)+m(∠3)=180°.

2. the substitution according to the rule above:

b+2b-90+b-10=180;

4b=280;

b=70°

It’s 70 degrees . I hope that helps if it doesn’t, send me a message

0.750 + 0.375 + 0.625

Answers

Answer:

1.75

Step-by-step explanation:

Little Joey can finish carpeting ½ of a room in ¼ of an hour. At this rate, how many rooms can he carpet in 1 hour?

Answers

Answer:

2 rooms

Step-by-step explanation:

1/2 divided by 1/4 is 2

2 times 1 = 2

Answer - 2

When was 2011 gone to 2021 what is the difference in years?

Answers

Answer:

10 is the difference

Answer:

Economics gone down and nature gone up

One teaspoon equals 0.5 centiliters. How many liters equal 50 teaspoons? Round the answer to the nearest hundredth. 0.25 liters 0.50 liters 25 liters 50 liters

Answers

50 teaspoons = 0.246446 liters
0.246446 rounded to the nearest hundredth is 0.25

so your answer is 0.25

Answer:

Your answer is 0.25

Step-by-step explanation:

Dont give me the brainiest give the other person the brainiest

Measurement A equals 6X - 35°

Answers

Answer:

............the answer is 97

Nobody wants to answer my questions for brainliest
Do the boyz got me do?

Answers

I do just get me brainliest too dude

Solve for x. Round your answer to the nearest tenth.

Answers

Answer:

a^2 + b^2 = c^2

9.9^2 + 4.9^2 = c^2

[tex]c = \sqrt{{9.9}^{2} + {4.9}^{2} } \: = 11[/tex]

PLEASE ANSWER THIS QUESTION RIGHT PLEASE Devante Has a lunch account in the school cafeteria. His starting balance at the beginning of the month is $35.50 The first week Devante But three lunches and his account balance was$28. The second week Devante  Bought five lunches and his account balance was $15.50 in a model that relates the balance of his lunch account as a function of the number of lunches he buys what does the rate of change represent? THE ANSWER CHOICES ARE IN THE PICTURE ABOVE

Answers

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:

What is 67/100 as a decimal representation and a percent representation

Answers

Answer:

Decimal Representation: 0.67

Percent Representation: 67%

Answer:

decimal = 0.67

percentage =67%

Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)

Answers

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]

In triangle ABC:

[tex]|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}[/tex]

In triangle MNO:

[tex]|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }[/tex]

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

[tex]|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8[/tex]

Hence O = (4, 8)

What is the range of the graph?
Remember: Range is y!

Answers

Answer:

Range = 1 ≤ y ≤ 5

Step-by-step explanation:

The range of the graph is all possible y-values that is plotted in the graph.

The range includes y-values include y = 1, and y-values that fall between y = 1 and y = 5, 5 inclusive.

Range = 1 ≤ y ≤ 5

What is the check digit (d) for the UPC barcode number
2-91273-05213-d?
A. 5
B. 7
C. 9
D. 0

Answers

Answer:

c edg 2020

Step-by-step explanation:

Gothcu

Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?

Answers

Answer:

$3700

Step-by-step explanation:

Given that:

Initial amount = $1400

Amount deposited per week = 50

Amount after 47 weeks =?

Using the Arithmetic Progression relation :

Tn = A + (n - 1)d

Weekly deposit = d = 50

A = initial / first deposit = 1400

n = number of deposits

T47 = 1400 + (47 - 1)50

T47 = 1400 + (46)*50

T47 = 1400 + 2300

T47 = 3700

Answer:

$3750

Step-by-step explanation:

T47 = 3750

If u steal point i report

Answers

Answer:

The first option

Step-by-step explanation:

The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.
Kg

Answers

Answer:

need points

Step-by-step explanation:

blah blah blah blah blah hope u pass

In a game of Yahtzee, five balanced dice are rolled simultaneously. Find the probabilities of getting (a) two pairs; (b) three of a kind; (c) a full house (three of a kind and a pair); (d) four of a kind.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

In point a, two pairs value is[tex]= \frac{25}{108}[/tex]

In point b, the three of a kind[tex]= \frac{25}{162}[/tex]

In point c, the value of the full house (three of a kind and a pair) [tex]= \frac{25}{648}[/tex]

In point d, the value of the four of a kind [tex]= \frac{25}{1296}[/tex]

what is the ratio of 3 squares and 4 triangles​

Answers

The answer is 4:3 :)))))

Write an Inequality to represent a graph.

Answers

Answer:

nun of the 3 you gave use so the last one the 4th

Step-by-step explanation:

2,704 rounded to the nearest thousand

Answers

Answer:

3000,

Step-by-step explanation:

5 or above round up, 4 and below keep it the same

A grocery sells bag of 6 oranges for 4.38 what is the unit cost on the double number line below fill in the given values then use multiplication it division to find the missing Value

Answers

Answer:

$1.37 unit rate

*this answer was rounded*

Step-by-step explanation:

Write a polynomial that represents the area of the square 7n-5, plz help, thank you!

Answers

Answer:

49n² - 70n + 25

Step-by-step explanation:

Area of a square = s²

Where,

s = side length = 7n - 5

Area of the square = (7n - 5)²

= (7n - 5)(7n - 5)

= 7n(7n - 5) -5(7n - 5)

= 49n² - 35n - 35n + 25 (distributive property of equality)

Add like terms

Area = 49n² - 70n + 25

Carson has a beach ball with a diameter of 50 cm what is the approximate volume of the beach ball? use 3.14 as an approximation for Pi

Answers

Radius=1/2 of Diameter

radius=1/2×50

radius=25

Volume of Sphere= 4/3 pie r^3

=4/3×22/7×25×25×25

=4/3×3.14×625×25

=4/3×3.14×16625

=4/3×52202.5

=4×17400.83

=69603.32

Volume of Sphere is 69603.32 sq.cm^3

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror car
be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
(0
1)
(0, 4)
(1, 0)
(4, 0)

Answers

Answer:

Step-by-step explanation:

0,1

The bulb should be placed at (1,0).

What is Parabola?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

Suppose the equation of parabolic mirror is y² = 4ax.

The given data in the  is x = 1 and y = 2

So, the value is y² = 4ax

4 = 4 a (1)

a = 1

So  x = 1

and, the focus is at  (x, y) is (1,0).

Learn more about parabola here:

brainly.in/question/13828215

#SPJ7

which statement is true when parallel lines are cut by transversal?

Answers

Answer:

If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

Write the equation of a line in Point-Slope form that has a slope of -2/3 and
passes through the point (-1,3).

Answers

Answer:

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Step-by-step explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and  passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:

y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))

This is:

y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

how do I find the range of a function?

Answers

Answer:

Overall, the steps for algebraically finding the range of a function are:

1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

2.Find the domain of g(y), and this will be the range of f(x).

3.If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Answer:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

a physician orders 62.25 miligrams of a drug. It is available in 20.75 miligrams tablets. how many tablets should the nurses administer? ​

Answers

Answer:

3 tablets

Step-by-step explanation:

Since the drug is to be administered in 20.75 mg tablets, we divide 62.25 by 20.75 to get the number of tablets required.

62.25 ➗ 20.75 = 3

3 tablets are to be administered

2x + 4
1
The shape in the figure is a square. Use the properties of a square to determine the
value of x.
OA) x = 0
OB) x = 4
OC) x= 2
D) Can't be determined.

Answers

Answer: x = 0

because the shape is a square

=> 2x + 4 = 4

⇔ 2x = 0

⇔ x = 0

Step-by-step explanation:

Solve For X
5(3x-2)=5

Answers

Answer:

15x-10=5

x=1

Step-by-step explanation:

hope it helps bro

Answer:

x=1

Step-by-step explanation:

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