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

this is important please help I will give brainiest​

Answers

d. Bobby drew a diagram that’s not a function.

You can see by the arrows, function means domain cannot have two different ranges. Bobby made a mistake since it should’ve been a function

What is the slope of the line?​

Answers

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Please help .........

Answers

Answer:

Step-by-step explanation:

1. ST > MN (ST is NOT congruent to MN)

2. BA > BC (not congruent)

3. m∠L < m∠P and m∠T < m∠R

4. m∠A < m∠B and m∠C

   m∠D and m∠E > m∠F

I am not sure what the questions are yet hope it helps

round 12.5829 to the nearest hundredth

Answers

12.58 i’m pretty sure

Answer:

12.58

Step-by-step explanation:

the 8 is in the hundredth's place, and 2 is less than 5, so the 8 stays the same and you eliminate all the numbers to the right, so you get 12.58

A video game markup
Games galore super store buys the latest video game at a wholesale price of $30.00. The markup rate at games galore is 40%. you use your allowance to purchase the game at the store. How much will you pay,not including tax?
a. write an equation to find the price of the game at games galore super store. Explain your equation

Answers

Answer:Evaluate: 12y+9d if y = 5 and d = 7

Step-by-step explanation:

Evaluate: 12y+9d if y = 5 and d = 7

Answer:

espanol si amego kumasta

Step-by-step explanation:

X^3 = 1,000
algebratic equations

Answers

Answer:

10

Step-by-step explanation:

x³=1000

x=3√1000

x=10

Answer:

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

Step-by-step explanation:

x^3 = 1000

x^3 - 1000 = 0

(x - 10)(x^2 + 10x + 100) = 0

x = 10 or x^2 + 10x + 100 = 0

x = 10 or x^2 + 10x + 25 = -100 + 25

x = 10 or (x + 5)^2 = -75

x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

In sixth grade at Elk Grove Middle School, there are 6 girls for every 5 boys..
If there are 35 boys in sixth grade, how many sixth-grade students are there altogether?
sixth-grade students

Questions

Answers

Answer: 77 students

Step-by-step explanation:

For construction of a unique quadrilateral at least _____measurements are required.

Answers

Answer:

Five

Step-by-step explanation:

As we know that quadrilateral contains 10 elements that involves 4 sides, 4 angles, and 2 diagonals. It cannot be drawn by four elements at least it required minimum 5 elements.

So as per the given statement, it is required to construct a unique quadrilateral for minimum 5 elements measurements

Hence, the same is to be considered

(3(2+3) = ?) what is the math term for the 3 in the equation?

Answers

Answer:

15

Step-by-step explanation:

2 + 3 = 5

3 x 5 = 15

What is the hcf of 105 and 14?

Answers

Answer:

hcf of 105 ans 14 is 7

Step-by-step explanation:

please mark me as BRAINLIEST

Answer:

The gcf is 7

step-by-step

mark me brainliest plz

Help
2х+6y=3
3х - 7у=6

Answers

If 2x + 6y = 3 and 3x -7y =6 then it has to be 6y x 7y =13

What is the quotient of 54.096 and 23

Answers

Answer:

The quotient is 2.352

Step-by-step explanation:

The term quotient is simply the result of division

Thus; if we divide 54.096 by 23, we get 2.352

6th grade math i mark as brainliest​

Answers

Answer:

(3)(c) - 11 5/8

Step-by-step explanation:

The parenthesis that are like this:

()()

mean multiplication

Answer:

3c - 11 5/8

Step-by-step explanation:

Find the slope of the line through each pair of points (-17, 11) , (-12, 9) 

Answers

Answer:

M = -2/5

Step-by-step explanation:

To find the slope of a line when you know two points, use the following formula.

M = y₂ - y₁ ÷ x₂ - x₁

M = 9 - 11 ÷ -12 - (-17)

M = -2 ÷ 5

M = -2/5

Hope that helps.

The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

[tex]y=x-2[/tex]

Hope this helps!

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

What is the general equation of a straight line?

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

To solve more questions on straight line, visit the link below-

https://brainly.com/question/27730503

#SPJ2

0.000603 in scientific notation

Answers

6.03 x 10^-4 That is 6.03 times 10 to the negative 4 power.

Ill give brainliest if you get it correct :D pls help meh

Answers

Answer: 14401.25

Step-by-step explanation:

Answer:

562000

Step-by-step explanation:

commission=commission rate multiplied with selling price

suppose selling price as x

14050=2.5% . x

14050=(2.5/100) . x

14050 . 100= 2.5 . x

x = 1405000/2.5

x=562000

Please help me understand this question

Answers

Answer:

Make the picture clearer and bigger

Step-by-step explanation:

Solve the given quadratic equation 2x2 + x + 1 = 0.

anyone over here who is a half Korean lol






have a great day ​

Answers

Answer:

2×2+x+1=0

4+x+1=0

5+x=0

x=-5

please help me, i need this so much​

Answers

Answer:

Do you have insta cus if u do follow _l.bartlett

Step-by-step explanation:

1. x<-3

2. z[tex]\leq[/tex] -5

3. y<2

4. 3 [tex]\leq[/tex]x<7

Find gradient of y=x^2-4x+6 at (3,3)

Answers

[tex]y=x^2-4x+6\\y'=2x-4[/tex]

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.

pls help
which equation describes the motion of the train?
d=50t
d=25t
d= t- 175
d= t + 25​

Answers

Answer:

d = 25t

Step-by-step explanation:

pick tow points on the line, the easier for me is (0,0) and (2,50).  The equation options are given in slope intercept form such as y = mx + b; where m is the slope and be is where the line intercepts the y-axis.  We can see that "b" is zero because the line intercepts the y-axis at 0 (b = 0).

to find the slope you use the two points for the m

m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]  = [tex]\frac{(50 - 0)}{(2 - 0)}[/tex]  = 25 is the slope

Therefore the equation should d = 25t

What is the average rate of change of f(x)=x²+4x+4 from x=1 to x=3?​

Answers

Answer:

F(3) - F(1) / (3-1)

(3^2 + 3*4 + 4) - (1^2 + 1*4 + 4) / (2)

(9+12+4) - (1+4+4) / (2)

(25)-(9)/(2)

(16)/(2)

8

Step-by-step explanation:

What is the slope of the line between (-3, 6) and (11,-5)?

Answers

Answer:

m=-11/14

Step-by-step explanation:

Mr. Borden was given a $50 gift card to use at the bowling alley. It costs him $10 per night to bowl. Each time he goes to the bowling alley he records the amount he has used and the amount he has left. If x is the number of nights bowled, b(x) is the balance on the gift card. Discreet

Answers

Answer:

He initially has $50 on his card.

For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:

b(x) = $50 - $10*x

Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.

Then the domain of this function will be discrete (and this implies that the range must also be discrete)

Where the possible values of x are:

{0, 1, 2, 3, 4, 5}

(after x = 5, there is no more money in the card)

And the possible values of b(x) are:

{$0, $10, $20, $30, $40, $50}

help pslslslsllsllslsllsllslslsllsllsls​

Answers

Answer:

1. c

2. b

Step-by-step explanation:

what is the lowest term of 35/63

Answers

Answer:

5/9

Step-by-step explanation:

Hi! Please help me solve this:

How did the temperature change if:
at first it decreased by 10% and then by 30%?
(I need the percent value)

Answers

Answer

by 20%????

Step-by-step explanation:


15. Write the slope intercept form of the equation of each line given the
slope and y-intercept. Slope = 2 y-intercept = -7

Answers

Answer:

y=2x-7

Step-by-step explanation:

it is in the form y=mx+b where m=2 and b=-7

Solve the inequality.

n−4<5
The solution is
.

Answers

Answer:

Step-by-step explanation:

n - 4 < 5

n < 9

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