Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6

Answers

Answer 1

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0


Related Questions

If f(x) is a linear function and f(-4) = 0 and f(2) = -3, what is the value of f(-8)?

Answers

Answer:

answer is [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

f(x)=y

basically this is just showing the y values

Answer:

the answer is - 3/2

Step-by-step explanation:

A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?

Which of the following equations could be used to solve the problem?

x + (11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
25x + 10(11 - x) = 1.70

Answers

0.10x + 0.25(11 - x) = 1.70

It has the correct values

solve for w
3 - 3w = 6​

Answers

Answer:

w equals negative 1one

P = R - C solve for C

Answers

Answer:

C = R - P

Step-by-step explanation:

Step 1: Write equation

P = R - C

Step 2: Subtract R on both sides

P - R = -C

Step 3: Divide both sides by -1

-P + R = C

Step 4: Rewrite

C = R - P

Answer:

C=R-P

Step-by-step explanation:

First move your terms

C+P=R then move variable to the right-hand side

C=R-P is your solution

Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????

Answers

Answer:the answer is (-2,1)

Step-by-step explanation:

When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is located on a coordinate plane.

Angle C is at (1, 2).

This means that,

Angle C = (1, 2) is in the I Quadrant.

We have four Quadrant:

Quadrant I - The coordinates are in the form of (x, y)

Quadrant II - The coordinates are in the form of (x, -y)

Quadrant III - The coordinates are in the form of (-x, -y)

Quadrant IV - The coordinates are in the form of (-x, y)

If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.

So,

C = (1, 2) will become C = (-1, 2)

Thus,

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

For which function is f(5) = 2?
2x
y
107
1
3
f(x) = x-3
2.
5
9
8
7
6
5
4
3
2
3
7
4.
9

Answers

Answer: the answer is A ( first one)

Step-by-step explanation:

i just took it and got it write

Each sheep has 4 legs and each chicken has 2 legs. If a farm boy counts 50 heads and 140 feet, how many sheep are there?

1. 30 sheep
2. 20 sheep
3. 10 sheep

Answers

Answer:

20

Step-by-step explanation:

H+S=50

2H+4S=140

4H+4S=200

4H+4S=200-

2H+ 4S =140

2H=60

H=30

50-30=20

Given:

Each sheep has 4 legs and a chicken has 2 legs.

A farm boy counts total heads = 50

And number of legs = 140

To Find:

Number of sheep.

Solution:

Let the number of sheep in the farm = s

And the number of chicken in the farm = h

If the total number of heads = 50

s + h = 50 ------- (1)

If the total number of the legs = 140

Number of legs of 's' sheep = 4s

Number of legs of 'h' chicken = 2h

Therefore, 4s + 2h = 140

2s + h = 70 -------(2)

Subtract equation (1) from equation (2),

(2s + h) - (s + h) = 70 - 50

s = 20

Therefore, 20 sheep are in the farm.

Learn more to solve the equations,

https://brainly.com/question/16566965

NEED HELP ASAP! Tysm

Answers

Answer:

7

Step-by-step explanation:

First you gotta plug in the values and you get 5*2 - 6(-4)/7

5 squared is 25

-6 times -4 is +24

25 + 24= 49

49/7= 7

Hope this helps! :)

True or False: Only like terms can be combined. A True B False

Answers

Answer:

True

Step-by-step explanation:

Like terms like 4x-3x the x term. is a like term

6-4x can be subtracted because they aren't the same.

High Hopes^^

Barry-

Answer:

i believe this false but im not positive

What is the equation of this line?


A. y=2x−3

B. y=−12x−3

C. y=−2x−3

D. y=12x−3

Answers

Answer:

2×-3 is the best equation for this.

Answer: y=2x-3

Step-by-step explanation:

0= (x-1)^2 -4 and and show explanation please

Answers

Answer:

x=-1, x=3

Step-by-step explanation:

to solve by factoring:

1. swap the sides:  

0=(x-1)^2-4

2. expand the expression:  

(x-1)^2-4=0

3. rewrite and calculate:

x^2-2x+1-4=0

4. factor

x^2+x-3x-3=0

5. Factor... again

x(x+1)-3(x+1)=0

6. separate

(x+1) (x-3)=0

7. solve

x+1=0, x-3=0

8. and you end up with 2 solutions

x=-1, x=3

x=-1. x=3 hopefully this is correct

it.
2. 5,907
What is the place and value of the 9

Answers

Answer:

25.907= 9 terceira casa a direita ( centena), 900.

(02.04 MC) Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per ride. Which function can be used to determine how much money he has left over after x rides? f(x) = 1.5x + 70 f(x) = −1.5x + 70 f(x) = −1.5x − 70 f(x) = −20x + $90

Answers

Answer:

f(x)= $70 - $1.5*x

Step-by-step explanation:

You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:

$5 + $15= $20

Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:

$1.5*x

So the money spent after x rides can be expressed as:

$20 + $1.5*x

Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:

$90 - ($20 + $1.5*x)

$90 -$20 -$1.5*x

$70 - $1.5*x

By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:

f(x)= $70 - $1.5*x

HEEEEEEELP I CAN'T GET THIS WRONG
WILL GIVE BRANI AND PONITS

Answers

Answer:

Step-by-step explanation:

4 (x -2 ) - 3 = 7x

expanded = 4x - 8 (you have to multiply the -2 as well) -3 = 7x

Answer:

I know im late but i belive i need more information

Step-by-step explanation:

Please help me with this algebra problem, it’s in the picture. I’ll give you brainliest if it’s correct!!

Answers

Please Mark brainliast

please

Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and explain what it means in the context of the situation.

Answers

Answer:

it not

Step-by-step explanation:

What is the slope of the line that passes through the points (-2,-12) and (1,-3)?

Answers

Answer:

3

Step-by-step explanation:

Change in Y/Change in X = Slope

Answer:

3

Step-by-step explanation:

(-3+12)/(1+2)

9/3

3

Answer this question to get brainlist

Answers

Answer:

The answer is D

Answer:

The answer is D

Step-by-step explanation:

A is incorrect because since 1 and 7 are both on the bottom half so they are congruentB is incorrect because 3 and 5 are both on the bottom half so they are congruent as wellC is incorrect for the same reason as A and BD is correct because they are both on the top half which means they cant be congruent

      Thus your answer would be D

In a sale a clothes shop reduces its prices by 25% a shirt usually costs $34 how much it’s after the sale?

Answers

Answer:

$25.5

Step-by-step explanation:

help me with this question in the picture please :(

Answers

Step-by-step explanation:

possibly A

Answer:

B. r = C/2π

Explanation:

The problem asks you to solve for r which means you have to get r by itself, or isolate the variable. You would do this by dividing both sides of the equation by 2π. The right side of the equation would cancel out, leaving you with r. The left side of the equation would simply be C/2π because C/2π cannot be simplified.

You could write your answer like this: C/2π = r

Or like this: r = C/2π

Here is my work just in case you're a visual learner:

Solve the equation: −3x − 3 +7x = 17 (SHOW UR WORK)

Answers

Answer:

x=5

Step-by-step explanation:

−3x − 3 +7x = 17

Combine like terms

4x -3 = 17

Add 3 to each side

4x-3 +3 =17+3

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

brainlest thats it man/

Answers

can u answer my question?
You are so right man

(2x+4)/3=6

x=

what does x = i need help quick

Answers

Answer:

15

Step-by-step explanation:

x=7

multiply 6 by 3 to get it out of the left side =18
subtract 4 from both sides
divide 2 by both sides

Solve for x show your work 4(x+1)=-3x-10 plz show work

Answers

Answer:

4(x + 1)= -3x - 10

on the bracket 4( x +1)

4x + 4 = -3x - 10

collect like terms

4x + 3x = -10 - 4

7x = -14

divide both sides by 7

x = -2

For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.

Answers

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

Add the following: 3l(l – 4 m + 5 n) and 4l( 10 n – 3 m + 2l) ​

Answers

Expand the brackets and then add like terms together:
31 - 124m + 155n + 410n - 123m + 861
892 - 247m + 565n

Answer:

11L^2‒24LM+55Ln

Step-by-step explanation:

first let's take L instead of l

3L(L‒4m+5n)+4L(10n‒3m+2L)

3L^2‒12LM+15Ln+40Ln‒12Lm+8L^2

3L^2+8L^2‒12LM‒12LM+15Ln+40Ln

11L^2‒24LM+55Ln

i think it is easy to understand&i hope it helps you

PLZ HELP ME ASAP!!!​

Answers

Answer:

A: 492 km

B: 120 m

Step-by-step explanation:

Since it's a 1:x scale, just multiply it.

120 x 4.1 = 492

Then add the unit.

Same thing for B.

4 x 30 = 120.

120 m

Solve for z.
A= x + 5 + Z

Answers

Answer:

Z = A - x - 5

Step-by-step explanation:

A = x + 5 + z

Make the equation equal to z by moving the x and 5 to the side of the = with A. Move the x and 5 by subtracting x and 5 from both sides.

A - x = 5 + z

A - x - 5 = z

So, Z is equal to A - x - 5

Pythagorean Theorem!!! someone pls help tyyy

Answers

Answer:

43.7

Step-by-step explanation:

7[tex]7^{2} +7^{2} =\sqrt{98} \\\sqrt{98}=9.899494937\\ That is the measurement for the dotted line. If we round it like they did in the example it would be 9.90. That is the measurement for all the sides of the square. \\We need the measurement for only 3 sides of the square and the two outer sides of the triangle (7ft)\\7ft + 7ft + 9.90 + 9.90 + 9.90 = 43.7\\\\Joshua added the 7's and they square rooted them for the Hypotenuse.\\Then the perimeter of all sides did not need any square roots.[/tex]

Beetween 2001 and 2011 the population of a town increased by 8% in 2001 the population was 34,342 calculate the population in 2011

Answers

34,342-100%
x-108%.
X=108*34,342/100=37089,36 or 37089
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