Solve the system of equations by elimination.
2x - y + 3z=-1
x + 2y - 4z=-1
y – 2z=0

Answers

Answer 1

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

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

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.


Related Questions

Use the table to write the rule (equation) for the relationship between x
and y.
х
у
0
4
1
5
2.
6

Answers

Y = x +4 hope this helps

Answer:

y = x + 4 or x - y + 4 = 0

Step-by-step explanation:

The relation between "x" and "y" is linear.

Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1

Coordinates of y-intercept of the line (0, b) = (0, 4)

Slope-intercept form of a line equation is y = mx + b

The rule (equation) of line is y = x + 4

or x - y + 4 = 0 (in standard form)

What is the value of x y and z
I’ll give brainliest

Answers

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

please give thanks by clicking the heart button! :)

Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz

Answers

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

Choose ASA, SAA, or neither
to describe this figure.
A
B
С
ASA
SAA
neither

Answers

ASA is the answer give me brainliest

Answer:

SAA

Step-by-step explanation:

SAA is correct

Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?

Answers

Answer:

Jonathan's mean score is:

(87+93+85+62+95)/5

=422/5

=84.4

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

I will give u the Brainly thingy HelPPpppppP ASAP I’m timeeddd and EXPLAIN

Answers

Answer:

The first one

The second one

The third one

The fifth one

Step-by-step explanation:

10/3 = x divided by -5/2
x = ?

Answers

Answer:

-4/3

have a nice day/night

Answer:

x = -25/3

Step-by-step explanation:

x divided by -5/2 is equal to x multiplied by -2/5

therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]

cross-multiply: -6x = 50

x = -50/6 or -25/3

How can the additive inverse be used to evaluate the problem below?

Negative 3 minus (negative 6)

Answers

Answer:3

Step-by-step explanation:

-3--9

-3+9=6

Answer:

Its D

Step-by-step explanation:

100 on quiz

Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?

Answers

Answer:

270

Step-by-step explanation:

if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it  into fifths  an u get 90 then multiply 90 by 3 since its thirds an you get 270

Answer:

600

Step-by-step explanation:

20 divided by 1/2 is 40

40 divided by 1/5 is 200

200 divided by 1/3 is 600

Whoever gets the specific and correct answer will get Brainlist.
Goooood luckkk <3

Answers

Answer:

$6 per hour

Step-by-step explanation:

30 for 5 hours

$6 per hour

What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!

Answers

Step-by-step explanation:

I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry

Omg I love this question like you can buy her some jewelry or a purse or makeup! Depends what kind of aesthetic she is.

3.Salem bought a car for AED 60000 and spent AED5000 on its accessories .Later he sold the car for AED 70000. Find his profit % or loss%

Answers

Answer:

7.69%

Step-by-step explanation:

Explanation of the answer is given below:

Car bought for AED 60,000

Accessories for AED 5,000

Total AED 65,000

Car sold for AED 70,000

AED 65,000 - AED 70,000 = AED 5,000

AED 5,000 / 65,000 * 100

= 7.69% Profit

The correct answer is that Salem made a profit of 7.69% on his car.

this is the most simple problem and I can get it right. Please help!

Answers

2sqrt(14) or 2rad(14)
That's basically the same idea

I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

y=5x+12

Step-by-step explanation:

Starting with the components of slope intercept form y=mx+b

m is you rate of change and b represents your y intercept

This would give you in your case y=5x+b, but we still need to solve for b.

So given your (x,y) point you plug it into y=5x+b giving you:

-3 = 5 (-3) + b

then some easy multiplication and addition

-3 = -15 + b

get the constant on the oppisite side of your variable b

-3 + 15 = -15 + 15 + b

This results in b = 12

Now rewrite the formula with b = 12

Which TADA! gives you

y = 5x + 12

PLEASE HELP URGENT!!! 10 POINTS PLUS BRIANLIEST IF CORRECT!! PLEASE YALL :// HELP!!

Answers

Answer:(-4,-6)

Step-by-step explanation:

Mr. Ciullo says he ordered the same amount of bananas each month for his grocery store last year, and the number of pounds ordered each month is a whole number. The produce company says he ordered $6,150 pounds of bananas last year. Does the produce company agree with Mr. Ciullo?

Answers

Answer:

No

Step-by-step explanation:

No, the produce company does not agree with Mr. Ciullo. There are a total of 12 months in a year and Mr. Ciullo claims that he ordered a whole number of bananas each month. Therefore, if we divide the total amount in pounds that the produce company claims that Mr. Ciullo ordered last year by the twelve months in the year then the result should be a whole number...

6,150 lbs. / 12 = 512.50 lbs.

We can see that the produce company is claiming that Mr. Ciullo ordered 512.50 pounds per month last year, which is not a whole number and therefore contradicting Mr. Ciullo's statement.

exposed clout chaser

Answers

Answer:

lol thanks for the free points

Step-by-step explanation:

Answer:

Exposed UwU

Have a great day

Enter the common ratio for this geometric sequence:

8,4,2,....

Give your answer in its simplest form.

Answers

Answer:

/2 each time

Step-by-step explanation:

8,4,2

8/2=4

4/2=2

etc

5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?

Answers

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

Learn more about unit rates, click;

https://brainly.com/question/29781084

#SPJ2

how many 1/6 cup servings are in 3/4 cups of pop corn​

Answers

Answer:

4 1/2 cup servings

Step-by-step explanation:

Answer:4 1/2 cup servings

Step-by-step explanation: 3/4 / 1/6 cups =3/4 *6= 18/4=4

(2x2 – 18)(x+3)(2 – 3) = 2x4 – 36x2 + 162

Answers

Answer:

X=4

Step-by-step explanation:

I'm took lazy to explain it step by step sorry, but I'm positive that's the correct answer.

Answer:

4

Step-by-step explanation:

(4 - 18)( x+ 3) (-1)= 8 - 72 +162

-14(x+3)(-1) = 98

14(x+3) =98

x+3 = 98÷14

x+3=7

x= 7-3=4

What property is 4x + 40 - 40 = 16 - 40

Answers

The photo show how to solve the equation. Also you can use calculator to solve the problem. The easiest way of doing this is using a scientific calculator then use shift solve method for the ans

Answer:

Step-by-step explanation:

or,4x + 40 - 40 (subtract and the answer will be o ; no valueit will get )= 16-40

or, 4x = 16-40

therefore, 4x = 16-40

now,

we can also do,

or, 4x= 16-40

or,  4x= -14

i think it will be helpful, plz mark as brainlist plz..

On a​ team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Answers

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a​ team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Please help!!!! Will give Brainliest!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

1. after 7 hours, you watch 1 movie

2. after 0 hours, youve watched 0 movies

3. after 14 hours, you have watched 2 movies

Please help due soon!

Answers

a=6underroot2 and b =4/ underoot3
yeah what they said lol sorry need to get this in

Help pls i can’t solve this

Answers

Answer:

Step-by-step explanation:

5) 121/11 = 11 meals / day

6) 50/10 = 5 min/call

7) 91/7 = 13 books / week

8) 1275 ants/5 ant holes = 255 ants / ant hole

Please help me on this

Answers

Answer:

PAGE 1

8.) d

9.) b

PAGE 2

6.) b

7.) d

PAGE 3

4.) c

5.) a

PAGE 4

1.) c

2.) c

3.) a

PAGE 5

10.) b

11.) d

Step-by-step explanation:

PAGE 1

8.) x - 20 + x + 10 = 180 (collect like terms)

2x - 10 = 180 (add 10 on both sides)

2x = 190 (divide by 2 on both sides)

x = 95

9.) 2y + y = 180 (collect like terms)

3y = 180 (divide by 3 on both sides)

y = 60

x = y ----> x = 60

PAGE 2

6.)  16x - 6 = 90 (add 6 on both sides)

16x = 96 (divide by 16 on both sides)

x = 6

7.) 5x + 30 = 7x (subtract 5x on both sides)

30 = 2x (divide by 2 on both sides)

15 = x

PAGE 3

4.) <8 and <16 are corresponding angles

5.) 180 - 130 = 50

PAGE 4

1.)  HD and GE are skew lines

2.) AC, EG, and BD are parallel to FH

3.) EF, GH, and BF are perpendicular to FH

PAGE 5

10.) | and || only are the only ones correct

11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.

b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.

Hope this helps ya!!

Does someone knows how to solve this. Step by step?

Completing the Square:

x^2-6x=15​

Answers

Answer:

[tex]x_1=3+2\sqrt{6}[/tex]

[tex]x_2=3-2\sqrt{6}[/tex]

Step-by-step explanation

[tex]\rule{100mm}{0.5mm}[/tex]

                           [tex]x^2-6x=15[/tex]

[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]

                   [tex]x^2-6x+3^2=15+3^2[/tex]

                     [tex]x^2-6x+9=15+9[/tex]

                          [tex](x-3)^2=24[/tex]

                       [tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]

                              [tex]x-3=\pm2\sqrt{6}[/tex]

                                  [tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]

                                  [tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]                                

[tex]\rule {100mm}{0.5mm}[/tex]

PLEASE HELP 30 POINTS
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be? He estimated that he had about $7 worth of groceries. He estimated that he had about $9 worth of groceries. He estimated that he had about $10.30 worth of groceries. He estimated that he had about $10.40 worth of groceries.

Answers

Answer:

3 + 1(3) +3 (the dollar amounts)

3+3+3

9

0.5 + 0.1 +0.1 +0.1 +0.5 (the cents)

1.3

9 +1.3 = 10.30 worth of groceries using front end estimation

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