!SUBSTITUTION METHOD!

6y - 5z = -8
3z = -6
4x - 3y - 2z= 21​

Answers

Answer 1

Answer:

x = 2 y = - 3z = - 2

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

First solve for z in Equation 2

That's

3z = - 6

Divide both sides by 3

z = - 2

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

y = - 3

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

x = 2

So the solutions are

x = 2 y = - 3z = - 2

Hope this helps you


Related Questions

Solve in detail plzzzzz

Answers

Answer:you need to multiply it by 4.

Step-by-step explanation:

If the number is multiplied by 4 it square root is effectively doubled.

Example: if you take the square root of 64, its 8.

to double the square root, you multiply 64 by 4---> 256.

And the square root of 256, is 16, double that of the square root of 64.

can someone answer 5,6,7? can you also tell me how to solve them so i can do better in the future?

Answers

Like this , this is the rules of index
6. 7^2=(7•7=49)7^3=(7•7•7=343)
49•343=16,807
5.8^1=(8•1=8) 8^4=(8•8•8•8=4096)
4096•8=32,768
7. X^5 •x^4=9 (since there is no number where “x” is you just add)

Find the quotient.
56,000 10

Answers

Answer:

5,600

Step-by-step explanation:

i used calculator.

Which equation can be used to solve for x in the following diagram? Choose 1 answer:

Answers

Answer:

D) 60=(x+45)

Step-by-step explanation:

D.  Since the two are equal, you need to put the two on opposite sides of the equation.  The equation doesn’t involve 90 or 180 degrees, so no reason to have them.  

Solving for x this way, you’d get 15, which is correct.

Look at the arrows in the following drawings

Answers

Answer:

a) perpendicular b) parallel c) perpendicular  d) neither

Step-by-step explanation:

Perpendicular means that the lines will intersect/cross and create a 90 degree angle

Parallel lines will never intersect/cross because they are going the same way.

Simplify the following expression.
-21 - (-11)

Answers

Answer:

-10

Step-by-step explanation:

well you know that

[tex](-)(-)=(+)[/tex]

so we have

[tex]-21-(-11)\\\\=-21+11\\\\=-10[/tex]

The answer to the problem rhenbehejrjrjrhjfjf

Answers

Through my trials and tribulations I have decided that the answer is.

Y E S

I am going to guess and say the answer is
True

Consider the point. (1, 4, 5) What is the projection of the point on the xy-plane?

Answers

Given :

A point ( 1 ,4 ,5 ).

To Find :

The projection of the point on the xy-plane .

Solution :

Now , to find projection of a point in a plane in a plane we need to replace the coordinate of that remaining axis which is not in the plane .

Here , the plane given is xy-plane . So , remaining axis is z .

So , we replace coordinate of z =0 .

Therefore ,  the projection of the point ( 1 ,4 ,5 ) on the xy-plane is ( 1 ,4 ,0 ) .

Hence , this is the required solution .

what is 17492/15098.766= i dont have brain

Answers

The answer is 1.158505

The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use 3.14 for π.
[tex]r = \sqrt{ \frac{3v}{4\pi} } [/tex]

Answers

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]

[tex]v = 288[/tex]

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

[tex]r = \sqrt{\frac{3v}{4\pi}}[/tex]

[tex]r = \sqrt{\frac{3 * 288}{4 * 3.14}}[/tex]

[tex]r = \sqrt{\frac{864}{12.56}}[/tex]

[tex]r = \sqrt{68.7898089172}[/tex]

[tex]r = 8.29396219651[/tex]

[tex]r = 8.3\ inch[/tex] (Approximated)

Hence;

The radius of the volleyball is 8.3 inches

Answer: 4.1 inches

Step-by-step explanation:

You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?

Answers

Answer: 134,061.9 dollar and 118,222.45 lb

To answer this question you need to convert each unit.
First, 1 dollar equal to 100 pennies. That mean the equation would be: 13,406,190 pennies x 1 dollar/100 pennies = 134,061.9 dollar

Each penny weight 4 grams and 1 lb equal to 453.592grams. Then the equation would be:
13,406,190 pennies x 4 grams/pennies x 1lb/453.592 grams= 118,222.45 lb

Answer:

congrats you just found 118,222.36 pounds of pennies worth $134,061.9

you should buy a house or car with 59 tons of pennies

Lavender grew from 38 inches to 52 inches in one month; what was
the % increase in growth ?

Answers

73% increase, set up a proportion of 38/52 equals x/100. then cross multiply and solve for X, this will give you the percentage.
There was a 73% increase in growth of the lavender.

Solve for y in terms of x. 16x + 4/3 y = 21

Answers

Answer:

y= -12x+63/4

Step-by-step explanation:

16x + 4/3 y = 21

4/3 y =21-16x

4y=3(21-16x)

4y=63-48x

y=63/4-48/4 x

y=-12x+63/4

the circumference of a circle is22 cm find the radiusof the circle​

Answers

Answer:

3.5cm

Step-by-step explanation:

[tex]C = 22cm\\r = ?\\\\C = 2\pi r\\\\r = \frac{C}{2\pi} \\\\r = \frac{22}{2(3.14)}\\ \\r = \frac{22}{6.28} \\\\r = 3.5[/tex]

Which of the following units measures the volume of a solid? Can choice more than one answer. A) mL B) m³ C) cm³ D) L

Answers

Answer: B and C

explanation: The volume of solids are expressed in cubic measurements such as cubic centimeters (cm^3) or cubic meters (m^3).

I need help with this

Answers

Answer:

b

Step-by-step explanation:

b is the answer

the range is all real number

please help me. Given the explicit formula for an arithmetic sequence find the 52nd term.
a =-41 + 30n
A) a52= 1519
B) a52= -1541
C) a52=-1492
D) a52=-1490

Answers

Answer:

a = -41 +30n

52nd term is

a52 = -41 + 30(52)

a52 = -41 + 1560

a52 = 1519

3. At the start of summer, Ben has $250 . He takes a summer
job and saves $ 150 per week. Tim has $ 1,650 at the start of
summer , he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?

Answers

Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning.  He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning.  He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

Solve for x. Show steps.

7x - 17 = 4x + 1

-x + 5 = x - 11

5x + 8 = 7x + 2

Answers

Combine the same numbers and do the opposite of either subtraction or addition.

Then, multiply or divide with the coefficient.

Answer:

see below

Step-by-step explanation:

⇒  7x - 17 = 4x + 1

combine like terms

7x - 4x = 1 + 17

3x = 18

x = 18/3

x = 6

⇒  -x + 5 = x - 11

combine like terms

- x - x = - 11 - 5

-2x = -16

x = 16 / 2

x = 8

⇒  5x + 8 = 7x + 2

combine like terms

5x - 7x = 2 - 8

- 2x = - 6

x = 6 / 2

x = 3

An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?

Answers

Answer:

Step-by-step explanation: 12 ur welcome

Speed is Distance traveled/time, then 12 kilometer per min is the cruising speed of airplane when airplane cruises 1 kilometer in 1 12 of a minute.

What is speed?

Speed=Distance traveled/time

An airplane cruises 1 kilometer in 1 12 of a minute. We need to find the speed.

Given distance=1 km

time=1/12 min

We need to find speed.

Speed=Distance traveled/time

=1/(1/12)

=1*12/1

=12kilometerperminute

Therefore 12 kilometer per meter is the speed required.

To learn more on speed click:https://brainly.com/question/28224010

#SPJ2

please help its multiplying rational numbers

Answers

-3.2(-5.6)(4)

= -3.2 - 5.6 x 4

= -3.2 - 22.4

= -25.6

y=x^-5 A) translate 5 units down B) translate 5 units up C) translate 5 units left D translate 5 units right

Answers

Answer:

B a translation 5 units to the left

Step-by-step explanation:

Edge 2021

The sum of a number and 12

Answers

Answer:

the sum of 6+6 is 12

Step-by-step explanation:

so the sum of the number 6+6 is 12 plz like and rate

What is this simplifided 54123×54÷2=

Answers

Answer:

1461321

Step-by-step explanation:

What is the solution to the linear equation?
를 글 - +
5
- X
6
x = -5
Ox=
0 x=
Ox=5

Answers

x=-5 ___________________

The question is an illustration of linear equation, and the solution to the linear equation is x = -5

How to determine the solution?

The equation is given as:

[tex]\frac 23x - \frac 12 = \frac 13 + \frac 56x[/tex]

Multiply through by 6

4x - 3 = 2 + 5x

Collect like terms

4x - 5x = 2 + 3

Evaluate the like terms

-x = 5

Divide both sides by -1

x = -5

Hence, the solution to the linear equation is x = -5

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ5

How to express a vector as a product of its length and direction?

Answers

Answer:

So the way to  express a vector( [tex]v =  2i - 2j - 2k[/tex]) as a product of its length and direction is

        [tex]v  =    |v| u =  \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]

 

Step-by-step explanation:

Generally a vector  is  expressed as a product of its length and direction using the formula below  

           [tex]v  =  |v|\cdot u[/tex]

Here v is the vector

        |v| is its magnitude (length)

         u is its unit vector (direction)

Now let take an example

Let  

     [tex]v =  2i - 2j - 2k[/tex]

The magnitude is mathematically evaluated as

          [tex]|v| =  \sqrt{ 2^2  + (-2)^2 +  (-2)^2 }[/tex]

         [tex]|v| =  \sqrt{12}[/tex]

The unit vector is mathematically represented as

        [tex]u  =  \frac{v}{|v|}[/tex]

        [tex]u  =  \frac{ <2 , -2 , -2>}{\sqrt{12} }[/tex]

    [tex]u =  \frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} }[/tex]

So

    [tex]v  =    |v| u =  \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]

 

which of the following sets of numbers could represent the three sides of a triangle

A 6,20,28
b 4,11,15
c 9,19,30
d 5,15,19​

Answers

Answer:

  d  5,15,19​

Step-by-step explanation:

The sum of the shortest two sides must be longer than the longest side. That is only the case for selection D.

__

If the sum is equal to the longest side, the segment ends will meet, but the "triangle" will look like a line segment. Many authors do not allow such a thing to be called a triangle. Hence, 'b' is not an answer to this question.

(Some authors do allow such a triangle, in which case, there would be two answers here: B and D.)

what is 95.85 estimated to

Answers

Answer:

96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

95.85≅96, because 8>5.

Of 57 cars making up a freight train, 23 are boxcar. What fraction of the cars are not boxcars?

Answers

The number of non box cars is the number of cars minus the number of boxcars.
This is 57 cars - 23 boxcars = 34 non boxcars

The fraction is the number of nonboxcars divided by the total cars
or
34/57

Answer:

total no of cars =57

Cars which are not boxcars =57-23=34

23/34×57=1339/34

Simplify the expression. -/4/​

Answers

The answer would be -4
Other Questions
Please help I will give out brainliest HELP MEEEEEEEEEEEEE PLZZZ I WILL GIVE YOU THE BRAINLEST Competition in the cell phone market results inO poor customer serviceO higher cell phone pricesO better quality cell phones There are many units of pressure. The standard one is Pa. Express Pa using only the fundamental units of meters, kilograms and seconds. Explain. A projectile is launched from ground level with an initial velocity of 89 ft/sec. It's height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0. a) Fine the time(s) the projectile will reach a height of 100 feet. b) find the time it takes the projectile to hit the ground Non renewable energy In what ways did the Mississippian Indians and Europeans interact with each other? Check all that apply.They established settlements.They farmed together.They exchanged cultures.They built churches.They traded goods. If 5y + 2 = 8/3, what is the value of 5y - 6? Can earthquakes and volcanoes lead to landslides? someone please help! five stars if you can answer this question The central idea of the passage is that C.V. Raman was passionate about his research. Which detail from the passage best helps develop this central idea? A. He would spend hours conducting experiments on light. B. Raman was the first Asian to win a Nobel Prize in 1930 for his research in the field of light. C. This made C.V. Raman think that the logic used by Professor Compton for his discovery could also be applied to understand light. D. His revolutionary findings on light and its properties came to be known as the "Raman Effect." Simplify 3(5x + 9 - 4x) You flip a fair coin until you see three tails in a row. What is the average number of headsthat youll see until gettingTTT? Write a sentence that contains at least two subordinate clauses. What is the area of the figure? Choose the sentence that is punctuated correctly.Don't touch the wet paint.Don't touch the wet paint!Don't touch the wet paint? 5. Mirrored news sites deceive readers by creating content that is false and... If I drop a paper clip from rest and it falls freely until it hits the ground with a speed of 30 m/s. How long is the ball in free fall? Under real world socialism, governments exert extensive control over resource allocation decisions,primarily involving key industries such as transportation, energy production, communication, andhealth care.TrueFalse All of the following were outcomes to the civilization program except __________.A.assimilationB.armed resistanceC.forced removalD.voluntary relocation