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

3/5 of 2 kg
what is the answer​

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Answer: 1.2 kilograms Brainliest please happy to help

Step-by-step explanation:

HELPP! I will give brainliest

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It’s only 0 because x=16. If you plug in 16 as x, the first part of the equation is -4. If you try using 0, 1, 10, x, or -x for the next part (also using 16 as x) then only 0 will give you -4

please help me with this sum​

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you didn't have calculate for this question

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-572.85 i just took the test and got it right

Tallahassee, FL has a population of 483,493. New York, NY has 345,876 more people than Tallahassee. Phoenix, AZ has 279,426 less people than New York.

b.) Round to the nearest hundred thousand to check the reasonableness of your answer for the population of Phoenix, AZ.

Answers

Answer:

600,000

Step-by-step explanation:

Phoenix AZ has approximately 600,000 people

Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist! (Ignore the black dots because I am not sure if they are right)​

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Answer:

YOUR RIGHT FOR BOTHH

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the state income tax deducted from gross pay of $864 with state income tax of 4%?​

Answers

Step-by-step explanation:

$864 of 4%

864/100 x 4

=8.64 x 4

=34.56

Therefore, the total income tax deduction is 34.56.

solve in step wise.

Answers

Ahh yes so u have to solve for x then substitute and subtract ur x and y coordinates so u can find the domain and range properly.

Find the percent of change from

10 yards to 15 yards
1. 5%
2. 33%
3. 15%
4. 50%

Answers

Answer:

option 4

Step-by-step explanation:

Percent change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

change = 15 - 10 = 5 , then

percent change = [tex]\frac{5}{10}[/tex] × 100% = 5 × 10% = 50%

17 21 14 17 12 15 16 mean

Answers

Answer:

17+21+14+17+12+15+16 / 7 and the answer is 16

Step-by-step explanation:

STEP N0#1 add all the data/ numbers together

STEP NO#2 divide the sum you got by the number of data points/ number

the number you get after dividing is the mean

Slope of -3 passes through the point (2,1)

Answers

Answer:

Linked the work I did on a scientific calculator :)

( How to write it as an equation )

Step-by-step explanation:

If the measure of XWZ = 127 . What is the measure of YWV?

Answers

Answer:

Dude Where's the attachment

Step-by-step explanation:

This is incomplete without image

A water tank is a cube of side 2m the depth of water in it is60cm. What is the volume of water in the tank?

Answers

Answer:

Step-by-step explanation:

The base is made of a square that is 2 meters by 2 meters.

Base = 4 m^2

The height of the water is 60 cm

60 cm// 100 cm/meter = 0.6 meters

Volume = Base * height

Base = 4m^2

height = 0.6 m

Volume = 4 * 0.6 = 2.4 m^3

Using the Addition method, solve for y in the following system of linear equations .
3x - y=1
X + 2y=5

Answers

Lmk if you need any further instruction or help.

Happy Halloween!!!!

I think it’s 1,2 sorry if I’m wrong

Evaluate the solid bounded by 2x + z = 2 and (x − 1)^2 + y^2 = z. Sketch the given solid.

Answers

Answer:

resuelve la pregunta*

Step-by-step explanation:

tu mamá es mi mamá

6 = 2n + 10
Please help

Answers

Answer:

6 = 2n + 10

6-10=2n

-4/2=n

-2=n

6=2n+10
-2n=18-6
-2n=12
n=-6

A car travelling at 120km per hour. How many metres does the car travel in 2 1/2 minutes

Answers

Answer:

48

Step-by-step explanation:

time = 2 1/2 = 5/2

speed= distance÷time

120= d÷ 5/2

(120×2)÷5= d

d = 48

HELP MEEEEEEE (−4)÷(14)(−2)

Answers

(-4)/(14)(-2)
=-4/-7
=4/7

Hope this help

solve the equation 3/4x-5=x
give your answers correct to 2 decimal places

Answers

Given :

3/4x - 5 = x

To find :-

The value of x .

Solution :-

Taking the given equation ,

3/4x - 5 = x x - 3/4x = -5 4x - 3x /4 = -5x/4 = -5x = -5*4x = -20

The line, L1 passes through the points A (-3,-2) and B (3,-8) Find the gradient of L1.​

Answers

Answer:

gradient = -1

Step-by-step explanation:

gradient = y2-y1/x2-x1

gradient = -8--2/3--3

gradient = -8+2/3+3

gradient = - 6/6

gradient = -1

                               

6846 is shared equally between 7 people how much does each person get?​

Answers

Answer:

978

explanation is a calculator

4✓6 × 3✓6
multiply and simplify
show work​

Answers

Answer:

3

2

Explanation:

First put change the words into an equation:

3

×

6

Now you can multiply them together as you would normally multiply:

3

×

6

=

18

Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:

18

/ \

6

3

/ \

2

3

As you can see, we have a square:

3

×

3

=

9

So take

9

out of

18

. You should have:

9

2

But since

9

=

3

we can simplify further to make:

9

2

3

2

Step-by-step explanation:

3.1.PS-16
Question Help
o
A new health drink has 170% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 30 mg. How many milligrams of the vitamin are in the drink?
There are
mg of the vitamin in the drink.

Answers

Answer:

Answer:

51 mg

Step-by-step explanation:

A new health drink has 170​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 30mg.

The above question is calculated as:

RDA of the vitamin × 170%

The RDA for this vitamin is 30mg

Hence:

30mg × 170%

= 51 mg

Therefore, the milligrams of the vitamin that are in the​ drink is 51 mg

What is the slope between these two points (-2, 7) and (4, 6)?(

Answers

[tex] \frac{6 - 7}{4 - ( - 2)} = \frac{ - 1}{6} = - \frac{1}{6} [/tex]

The slope is -1/6

Y2-Y1/X2-X1

6-7/4-(-2)

-1/6

= -1/6

What does the initial amount represent on the linear equations word problems?

Answers

Answer:

0

Step-by-step explanation:

The initial value or y-intercept is the output value when the input of a linear function is zero.

MATH REAL ANSWER PLS DONT ANSWER THEN DELETE (BENNY whatever ur 500 accounts are i’m filing a police report if you answer this so choose wisely) ANYWAY PLS HELP ASAP.

Answers

Answer:

Step-by-step explanation:

0 = (x + 1)(x + 1)

Therefore

x + 1 = 0

x = -1 (twice)

(-1, 0), (-1, 0)

pls help I will put brainliest​

Answers

2.7

the number line ticks count by 2 and this is in between

The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of the questions.
68%, 2.5%, 81.5%, 95%, 41-42, 20-21, 16%, 84%, 121-122, 5%, 87-88, 64, 35-36
What percentage of K-cups can be expected to fall within 2 Standard Deviations of the mean?

What is the probability that a K-cup will have more than .33 ounces?

Sam's club sells K-cups in a box of 128. How many of them will weigh less than .23 ounces?

K-cups that are more than 2 SD below the mean are considered to be to "weak". What percentage of K-cup are considered to "weak"

In a standard box of 44 k-cups, how many will weigh between .23 and .38 ounces

The ideal weight for K-cups are within 1 SD of the mean, how many of the Sam's Club box of K-cups are ideal?

Answers

Using the Empirical Rule, it is found that:

95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.

First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.

0.33 ounces is one standard deviation above the mean.

68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:

0.16 = 16% probability that a K-cup will have more than .33 ounces.

16% weigh less than 0.23 ounces. Out of 128:

[tex]0.16(128) = 20[/tex]

20 of them will weight less than 0.23 ounces.

5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.

0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.

Thus, the proportion between 0.23 and 0.38 is:

[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]

Out of 44:

[tex]0.815(44) = 36[/tex]

36 will weigh between 0.23 and 0.38 ounces.

68% are within 1 standard deviation of the mean.

Out of 44:

[tex]0.68(44) = 30[/tex]

30 of the Sam's Club box of K-cups are ideal.

A similar problem is given at https://brainly.com/question/13503878

Help me please!!!!! ✨✨✨✨✨✨✨✨

Answers

Answer:

-1 thats correcto...uh but why

a angle is measured in​

Answers

Angles are measured in degree’s, the symbol for degree’s is a little circle (x °)
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