What are the values of x, y, and z in this system of equations?

2x+4y+z=1
x-2y-3z=2
x+y-z=-1

Answers

Answer 1

Answer:

{x,y,z}={5,−3,3}

Step-by-step explanation:

  [1]    2x + 4y + z = 1

  [2]    x - 2y - 3z = 2

  [3]    x + y - z = -1

// Solve equation [3] for the variable  y  

 [3]    y = -x + z - 1

// Plug this in for variable  y  in equation [1]

  [1]    2x + 4•(-x +z -1) + z = 1

  [1]    -2x + 5z = 5

// Plug this in for variable  y  in equation [2]

  [2]    x - 2•(-x +z -1) - 3z = 2

  [2]    3x - 5z = 0

// Solve equation [2] for the variable  x  

 [2]    3x = 5z

 [2]    x = 5z/3

// Plug this in for variable  x  in equation [1]

  [1]    -2•(5z/3) + 5z = 5

  [1]    5z/3 = 5

  [1]    5z = 15

// Solve equation [1] for the variable  z  

  [1]    5z = 15

  [1]    z = 3

// By now we know this much :

   x = 5z/3

   y = -x+z-1

   z = 3

// Use the  z  value to solve for  x  

   x = (5/3)(3) = 5

// Use the  x  and  z  values to solve for  y  

 y = -(5)+(3)-1 = -3

Solution :

{x,y,z} = {5,-3,3}


Related Questions

Write -0.744 as a fraction in lowest term

Answers

Answer:

- 93/125

Step-by-step explanation:

Answer:

-93/125 is the answer

1/3 + 5 3/4 pls I rlly need help

Answers

Answer:

6 1/12

Step-by-step explanation:

Make 1/3 and 3/4 have the same denominator.

1/3 times 4/4 is 4/12

3/4 times 3/3 is 9/12

4/12 + 9/12 = 13/12 = 1 1/12

1 1/12 +5 = 6 1/12

6.08333333333333333333333333333333333333333333

WILL GIVE BRAINLIEST!! What is the y-intercept of a line that has a slope of 3 and passes through point (4, 8)?

Answers

Answer:

-4

Step-by-step explanation:

If we set up the equation with the known info, we get y=3x+b

We can then use the ordered pair to plug in, so 8=12+b

Now, simply solve for B, and you get -4

What is the image point of (-2, -3) after a translation right 2 units and up 4 units?

Answers

Answer:

The Answer is (0, 1)

Step-by-step explanation:

add 2 and 4 to the x and y

Answer:

(0, 1)

Step-by-step explanation:

2 units right -> -2 + 2 = 0

4 units up -> -3 + 4 = 1

Newton's first law of motion applies only to objects that are already moving.
O True
O False

Answers

Answer:

false

Step-by-step explanation:

False, because an object at rest also stays at rest unless it is pushed into motion by a force

3x + 8
What is it please

Answers

Answer:

11x

Step-by-step explanation:

Add the 3 and 8 togeter, you will get 11 then the x at the and of you're solution.

Find two numbers if their ratio is 9:11 and their difference is 6

Answers

Answer:

27 , 33

Step-by-step explanation:

Let the numbers be 9x & 11x

so

11x-9x=6

2x=6

x=3

First number is =9x=9*3=27

Second number is =11x=11*3=33

plz mark as brainliest if it helps

Answer:

27 and 33

Step-by-step explanation:

Here I would set up a system of equations:

1. I make the proportion 9/11=x/y and this cross-multiplies into 9y=11x

2. I use the other part of the problem to make my second equation, and since y is greater than x (assumed by looking at first step) this second equation is y-x=6

3. now, I will use substitution, if y-x=6, then y=x+6, so 9(x+6)=11x

4. simplify, 9x+54=11x

5. solve, 2x=54, x=27, y=x+6=33


A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?

Answers

Answer:

2,584

Step-by-step explanation:

You just add or subtract the numbers if hes going up or down.

karinne hit 4 more home runs than 1/2 the number of home runs Lu hit. Together they hit 10 home runs. Let X represent the number of home runs Lu hit. Write an equation to represent the situation ​

Answers

It is given that Lu hit x numbers of home run.

So, number of home run hit by Karinne is  more home runs than 1/2 the number of home runs Lu hit.

So, number of home run Karinne hit is :

[tex]y = 4 + 0.5x[/tex]

Also,

[tex]x + y = 10[/tex]

Solving above two equation, we get :

x + ( 4 + 0.5x ) = 10

1.5x + 4 = 10

1.5x = 6

x = 4

Therefore, number of home run hit by Lu is 4.

Hence, this is the required solution.

Creating a mathematical expression using the scenario described, the expression which represents the total number of home runs is 1.5x + 4 = 10

Total Number of home runs :

(1/2)x + 4 + x = 10

1.5x + 4 = 10

1.5x = 10 - 4

1.5x = 6

x = 6/1.5

x = 4

Therefore, the equation which represents the situation is 1.5x + 4 = 10

Learn more : https://brainly.com/question/18796573

Is (4, 3) a solution to x + y = 7

Answers

Answer:

Yes

Step-by-step explanation:

(x, y)

(4, 3)

x = 4

y = 3

Therefore

4 + 3 = 7

PLEASE HELP WILL GIVE BRAINLIEST 15 POINTS!!!!
I AM ACTUALLY IN MIDDLE SCHOOL I NEEDS HELP!!

Frances has $24.06 in her checking account. She writes a check for $32.16. The ban imposes a $15 penalty because she has overdrawn her account. How much money is in her account now? Write and simplify a numerical expression.

Answers

Answer:  -$23.10 dollars in Frances bank account.

Step-by-step explanation:

Answer:

--$23.10

This is the answer, I double checked.

Find the common ratio of the geometric sequence 18,-90,450,...

Answers

Answer:

try looking it up on socratic

Answer:

-5

Step-by-step explanation:

The common ratio is what you have to multiply one term by to get the next term.

so:

[tex]18 \times r = -90\\-90 \times r = 450[/tex]

where r is the common ratio

We can solve these equations:

-90 / 18 = -5

450/-90 = -5

therefore the common ratio is -5

Helpp me PlzzzzzZZzz

Answers

Answer: B. Distributive Property

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Distributive Property  

there are 65 children in the sixth grade. there are 15 more boys than girls. what is the ratio of boys to girls

Answers

from the 65 kids, set 15 of them into the boy category (mentally). this represents the excess over # of girls.
that means 50 kids remain, equally divided, so therefore there are 25 girls & 25+15 = 40 boys.

What is equivalent to 64^(1/2)
Exponential Functions Algebra 1

Answers

[tex]64^{\frac{1}{2}}=\sqrt{64}=\sqrt{8^2}=8[/tex].

Hope this helps.

Answer:8

Step-by-step explanation: first you have to see what the base number is in this case the base number is 64 so you see that it 64 and then you you divide 1 by 2 then you divide        or you can just put it into the calculator

A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?

Answers

5.095 ounces or, if you're looking for a percentage, then 75.48% (I don't know where you need it rounded to). To get the ounces, subtract the ounces of pineapple juice from the total ounces of fruit juice. To get the percentage, divide 5.095 by 6.75, then multiply by 100.

please help me asap (picture is included) (:

Answers

Answer:

d

Step-by-step explanation:

C) -17
11+x= -2 x 3
11+x=-6
x=-6-11
x=-17

5x = 45
O Commutative Property
O Associative Property
O
Distributive Property
Subtraction Property of Equality
O
Division Property of Equality

Answers

Division Property of Equality

NOBODYS HELPING ME ANSWER THIS AND I NEED AN ANSWER ASAP :((( IVE ASKED 2 TIMES ANYWAYS ILL GIVE BRAINLIEST AND 15+

ITS 2 QUESTIONS SEPERATE PLEASE PUT IT AS THIS

QUESTION 1-
______________
QUESTION 2-
______________ m

Answers

Answer:

1) 2/3

2) y= 2x+4

Step-by-step explanation:

For number one, use the formula [tex]\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }[/tex].

Insert the given coordinates into the formula.

7-1/10-1= 6/9

Simplify 6/9.

6/9÷3= 2/3

For the second one, I used desmos calculator.

Hope this helps! :)

If
3y + 1
2
= 5,
4x
3
= 8
and
z
3
+
z
4
= 2


A. y > x B. x = y C. y > z D. x > z

Answers

Step-by-step explanation:

hey, write the question properly...

If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y

Let's start by solving each equation one by one to find the values of the variables.

Equation 1: 3y + 12 = 5

Subtracting 12 from both sides:

3y = 5 - 12

3y = -7

Dividing both sides by 3:

y = -7/3

Equation 2: 4x - 3 = 8

Adding 3 to both sides:

4x = 8 + 3

4x = 11

Dividing both sides by 4:

x = 11/4

Equation 3: z³ + z⁴

This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³  and z⁴ by examining the equation. Since both terms are positive, the sum of z³  and z⁴ can never be negative. Therefore, the only possible solution is when both z³  and z⁴  are less than 2.

Now, let's compare the values of y, x, and z:

y = -7/3 ≈ -2.33

x = 11/4 ≈ 2.75

z³ + z⁴ < 2 (as explained above)

Based on these values, we can determine the relationship between the variables:

A. y > x

B. x = y

C. y > z

D. x > z

The correct answer is: B. x = y

To know more about equation here

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an ablum recieve an award when it sells 10,000,000 copies. An ablum has sold 7,680,000 copies. How many more copies does it need to sell to recieve the award

Answers

Answer:

2,320,000

Step-by-step explanation:

10,000,000

                   -

7,680,000

__________

2,320,000

Answer:

2,320,000

Step-by-step explanation:

You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.  

10,000,000 - 7,680,000 = 2,320,000

. A recipe calls for 32 ounces of pasta to be used. How many pounds of pasta is that if 1 ounce equals about 0.06 pounds?

Answers

wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

If 1 ounce is equal to 0.06 pounds then 32 ounces of pasta is equivalent to 1.92 pounds of pasta.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A recipe calls for 32 ounces of pasta to be used.

Also given that 1 ounce is equal to 0.06 pounds.

Therefore, To convert the amount of pasta to pounds from ounces we have multiply the unit rate which is (32×0.06).

= 1.92 pounds.

learn more about the unitary method here :

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What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:

Answers

Answer:

4

Step-by-step explanation:

Step 1:

6x - 8 = 4x        Equation

Step 2:

6x = 4x + 8        Add 8 on both sides

Step 3:

2x = 8     Subtract 4x on both sides

Step 4:

x = 8 ÷ 2      Divide

Answer:

x = 4

Hope This Helps :)

Can someone help me plz

Answers

Answer:

make it so that the top side is 40 and make the sides 35

Step-by-step explanation:

Top sides 40 other sides 35 :)

how do you right
0.125 as a whole number

Answers

Step-by-step explanation:

divide 1 by 0.1 to 5 and this will tell you what you need to multiply it by in order to make 0.125

1/0.125=8

thus : 8 *0.125 =1

Help please 6th grade math

Answers

Answer:

Step-by-step explanation:

The slope is the distance between x and y. I am not quite sure how to do this question without the view of the whole problem. :(

The answer is - 5/2 :)))) brainliest? Thanks

Select all the true statements

Answers

Answer:

option no (C) is correct

Step-by-step explanation:

A gym was advertised to cost $23 a month with a one-time fee of $74. If the total
bill was $373, how many months was paid for? *
Your answer

Answers

Answer:

Step-by-step explanation:

$373 - $74 = $299

299 divided by 23 = 13

13 months (?)

1/2 x + 4 = 15
x = 22
x= 38
x = 5.5
x = -22

Answers

Answer:

x=22

Step-by-step explanation:

To find the x value, you need to use reverse PEMDAS (or GEMDAS as I've seen some people call it)

First, you subtract 4 from both sides of the equation. This should give you:

1/2x=11

Then, you divide 1/2 on each side. Although it's easier to multiply 2 on each side instead. This will give you.

x=22

The answer is x=22

Hope this helps

What is the value of the expression below when w=3? 5w2 -5w-8

Answers

Expressions are mathematical statements without the equal sign

The value of 5w^2 - 5w - 8 when x = 3 is 22

How to determine the value of the expression

The expression is given as:

5w^2 - 5w - 8

When the value of w is 3, the expression becomes

[tex]5w^2 - 5w - 8 = 5*3^2 - 5*3 - 8[/tex]

Evaluate the exponents

[tex]5w^2 - 5w - 8 = 5*9 - 5*3 - 8[/tex]

Evaluate the products

[tex]5w^2 - 5w - 8 = 45- 15 - 8[/tex]

Evaluate the differences

[tex]5w^2 - 5w - 8 = 22[/tex]

Hence, the value of 5w^2 - 5w - 8 when x = 3 is 22

Read more about expressions at:

https://brainly.com/question/723406

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