solve the following system of equations for all three variables.
-9x-y+2z= -4
-6x+y+5z= 2
-4x+y+5z= 6

Answers

Answer 1

Answer:

x=2, z=4, y=-6

Step-by-step explanation:

Add

-9x-y+2z= -4

-6x+y+5z= 2

-9x-6x is -15x

-y+y is 0

2z+5z is 7z

-4+2 is -2

So the equation now looks like this: -15x+7z=-2

Subtract

-6x+y+5z= 2

-4x+y+5z= 6

So the equation will look like this:

-6x+y+5z= 2

-(-4x+y+5z= 6)

-6x+4x is -2x

y-y is 0

5z-5z is 0

2-6 is -4

So the equation now looks like this: -2x=-4

You can find x by dividing -2 on both sides:

x=2

So 2 is x

Now you can substitute x into 2

-15(2)+7z=-2

-30+7z=-2

7z=28

Divide 7 on both sides:

z=4

So now you can substitute z into 4 (For any of the three equation)

-4(2)+y+5(4)=6

-8+y+20=6

20 minus 8 is 12

y+12=6

Subtract 12 on both sides:

y=-6

So the answers are

x=2, z=4, y=-6

Hope this helps!


Related Questions

Plz help I need help plz

Answers

It’s the third answer

Choose the 3 correct answers please! ( Branliest )

Answers

Answer:

Option A,B,E are equivalent.

Step-by-step explanation:

What we are given: Expression

To find : Which expressions are equivalent to given expression ?

Solution :

We solve the expression and check,

A) Yes it is equivalent.

B) Yes it is equivalent.

C) No it is not equivalent.

D) No it is not equivalent.

E)  Yes it is equivalent.

Therefore, Option A,B,E are equivalent.

Step-by-step explanation:

Hope this Helps =)

Answer:

A , C , E

Step-by-step explanation:

Answer A :

[tex] - 30(3 + 2w) \\ - 30(3) - 30(2w)\\ - 90 - 60w[/tex]

It's equivalent. ✔️

Answer B :

[tex]( - 9 - 6w) - 10 \\ - 9 - 6w - 10 \\ - 19 - 6w[/tex]

It's not equivalent. ✖️

Answer C :

[tex] - 3(30 - 20w) \\ - 3(30) -3(20w) \\ - 90 - 60w \\ [/tex]

It's equivalent. ✔️

Answer D :

[tex](6 + 4w) \times 15 \\ 15(6)+ 15(4w) \\ 90 + 60w \\ [/tex]

It's not equivalent. ✖️

Answer E :

[tex] - 20(4.5 + 3w) \\ -20(4.5) -20(3w) \\ - 90 - 60w \\ [/tex]

It's equivalent. ✔️

I really need assistance with this question

Answers

Answer:

first

Step-by-step explanation:

Lumen

Managerial Accounting

Chapter 5: Cost Behavior and Cost-Volume-Profit Analysis

5.6 Break – Even Point for a single product

Finding the break-even point

A company breaks even for a given period when sales revenue and costs charged to that period are equal. Thus, the break-even point is that level of operations at which a company realizes no net income or loss.

A company may express a break-even point in dollars of sales revenue or number of units produced or sold. No matter how a company expresses its break-even point, it is still the point of zero income or loss. To illustrate the calculation of a break-even point watch the following video and then we will work with the previous company, Video Productions.

Before we can begin, we need two things from the previous page: Contribution Margin per unit and Contribution Margin RATIO. These formulas are:

Contribution Margin per unit = Sales Price – Variable Cost per Unit

Contribution Margin Ratio = Contribution margin (Sales – Variable Cost)

Sales

Break-even in units

Recall that Video Productions produces DVDs selling for $20 per unit. Fixed costs

write an equation of the line passing through the point( 3, -1) and parallel to the line y=2/3 x-5

Answers

Answer:

[tex]y = \frac{2}{3} x - 2[/tex]

Step-by-step explanation:

find The y-intercept

[tex] - 1 = \frac{2}{3} (3) + b \\ - 1 = 1 + b \\ b = - 2 \: \: \: \: y - intercept[/tex]

The equation of the line

[tex]y = \frac{2}{3} x - 2[/tex]

A number n is increased by 40% and then decreased by 14%. What is the final result in terms of n?

Answers

Answer:

X = 100. A 40% increase causes it to increase to 140. A 40% reduction amounts to multiplying by 0.6, leading to a reduction of 40% of 140 ...

Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?

Answers

8 because they both started with 17 and 17-9 is 8

Veggie’s Market sells 5 avocados for $2.30 and 3 tomatoes for $2.97. Martina buys 2 avocados and 1 tomato. What is the total cost of her veggies?

Answers

Answer:

$1.91

Step-by-step explanation:

$2.30 / 5 = $0.46

$2.97 / 3 = $0.99

2 * $0.46 + $0.99 = $1.91

Answer:

1.91

Step-by-step explanation:

divide 2.30 by 5 and u get 0.47 and she bought 2 avocados so 0.47 plus 0.47 is 0.92 and 2.97 divided by 3 is 0.99 so 0.99 plus 0.92 is 1.91 dollars

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer: 10 meters

Explanation:

29 cm : blank meters

So how do we get from 348 cm to 29 cm?

To figure this out we divide.

348 divided by 28 = 12

we divided by 12 so we do the same with 120

120 divided by 12 = 10

So that’s the answer.

I hope this makes sense and helps you :)

William has a lemonade stand. Today he made $89.62 in lemonade sales and one third that amount in cookie sales. How much money did William make altogether?

Answers

Answer:

$119.49 (rounded to the nearest cent.)

Answer: 119.4933333 would be the actual answer but rounded to the nearest cent it would be 119.49

89.62/3 = 29.8733333....... 89.62 + 29.8733333 = 119.4933333

STATE THE MODULES THAT ARE INCLUDED WHEN LEARNING CALCULUS I.

Answers

Answer:

Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.

math read please IMA WRITE USELESS WORDS CONTINUE

Answers

Basically just show using numbers how the shapes are not alike like what makes them different make some numbers up and do it just like that and explain how the shapes won’t Align with each other

I NEED HELP PLS.......

Answers

-4x - 2.4

explanation: 1.3 - 3.7 = -2.4
then you leave the -4x by itself since it’s the only variable

(10pts) Ivan bought three games and paid $65 for all three. The second game was 50% more expensive than the first one. The price of the third game was 50% of the price of the second game. Find the price of the first game.
PLSSSSSSSS HELPPPP NOWWWWWW!!!







Answer:

The price of the first game is $.

Answers

We are required to find the price of the first game

The price of the first game is $20

Given:

let

price of the first game = x

price of the second game = x + 50% of x

= x + 0.5x

= 1.5x

Price of the third game = 50% of 1.5x

= 0.5 × 1.5x

= 0.75x

Total cost of game = $65

Total cost of game = price of the first game + price of the second game + Price of the third game

65 = x + 1.5x + 0.75x

65 = 3.25x

divide both sides by 3.25

x = 65 ÷ 3.25

x = 20

Therefore, the price of the first game is $20

Read more:

https://brainly.com/question/291220

The probability that record drawn randomly from a standard deck of 52 cards is a four

Answers

Answer:

1/13

Step-by-step explanation:

no.of sample space n(S) = 52

no.of favourable cases n(E) = 4

probability of getting a four p(E) = n(E) / n(s)

or, 4/52

or 2/26

or 1/13

therefore,the probability of getting a four is 1/13.

MATH WEEK 5 DISCUSSION

Answers

5 ————————————————————————-

Factor 28x3 + 156x2 + 80x

Answers

Answer:

4(+5)(7+4)

Step-by-step explanation:

i think this is real

The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which equation represents this situation?

Answers

The question requires calculating the perimeter of the rectangular r ug

The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches

Given:

let

length of the rectangular r ug = x inches

Width of a rectangular r ug = (2x + 4 1/4) inches

Perimeter of the r ug = 56 1/2 inches

Perimeter of the r ug = 2(length + width)

56 1/2 = 2{x + (2x + 4 1/4)

113/2 = 2(x + 2x + 17/4)

113/2 = 2(3x + 17/4)

113/2 = 6x + 34/4

113/2 - 34/4 = 6x

(226-34) / 4 = 6x

192/4 = 6x

48 = 6x

divide both sides by 6

x = 48/6

x = 8 inches

So,

length of the rectangular r ug = x inches

= 8 inches

Width of a rectangular r ug = (2x + 4 1/4) inches

= 2(8) + 4 1/4

= 16 + 4 1/4

= 20 1/4 inches

Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches

Read more:

https://brainly.com/question/10452031

Simplify the following:

[tex]\sqrt{50} x^{2} y^{3}[/tex]

Answers

Answer:

5xy[tex]\sqrt{2y}[/tex]

Step-by-step explanation:

Answer: simplify

5√2x² y²

Simplify by using the product, quotient, and power rules

Answers

Answer:

3y^5

Step-by-step explanation:

Solve for the variable

9b+4−8b=7

b = ?

Answers

The answer is 3
B+4=7
B=7-4
B=3

CAN Someone PLS HELP ME PLSSSSSSSSSSSS

Answers

Answer: where is the rest of the problem

Step-by-step explanation:

-$107.85

Exits on an interstate are numbered consecutively.
The distance between Exit 5 and Exit 6 is 3.2 miles.
The distance between Exit 6 and Exit 7 is 1.1 miles farther than the distance between Exit 5 and Exit
6.
The distance between Exit 6 and Exit 8 is 2.4 miles farther than the distance between Exit 5 and Exit
7.
The distance between Exit 7 and Exit 8 is
miles.

Answers

9514 1404 393

Answer:

  5.6 miles

Step-by-step explanation:

Let the following distances between exits be defined:

  a = exit 5 to 6

  b = exit 6 to 7

  c = exit 7 to 8

Then the given relations are ...

  a = 3.2

  b = 1.1 +a = 4.3

  (b +c) = 2.4 +(a +b)   ⇒   c = a +2.4 = 5.6

The distance between exits 7 and 8 is 5.6 miles.

Which sign makes this number sentence true?

|-56| __ |56|
A. >
B. <
C. =
D. x

Answers

C. =, the absolute value of a number is always positive

3. Starting from the camp at C, Tim takes a bearing of a mountain and notes it to be 25°. He then walks 5 km to the hut at H and takes a second bearing, 345°

(a) Work out the angles in the triangle. Show it is a right angled triangle.

(b) From the mountain at M, what is the bearing of the camp?

(c) How far is it from the camp to the mountain?

(d) Tim walks back to camp from the hut. What bearing does he follow?

Answers

Answer:

No idea

Step-by-step explanation:

What is the average distance covered in meters?

Answers

Answer:

4.17666666666666666667

Step-by-step explanation:

add 4.5 4.21 and 3.82 then divide it by 3

which of the following expressions to 36x + 24y? choose all that apply.

6x (6+4y)
6(6x + 4y)
12(36x + 24y)
12(3x + 2y)
4y(9x + 6)
4(9x + 6y)

Answers

6(6x + 4y)

12(3x + 2y)

4(9x + 6y)

A 125 mililiter solution of fabric dye contains 5 ml of hydrogen peroxide what percent concentration of hydrogen peroxide?

Answers

The answer is 67%, good luck
The answer is 6.25 because I said so

Jeffrey makes 3% commission on
his sales. If his sales total $1800
this week, how much money will he
make?

Answers

Answer:

He will make $54

please help algebra ii!

Answers

Answer:-4

Step-by-step explanation:we can easily see it on the graph

Yeah and that is what’re the point is on the graph

What do you call 7 in this division problem?
28 = 7 = 4
O A. Dividend
B. Divisor
C. Quotient
D. Product
SUBMIT

Answers

It’s would be b Divisor
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