Solve the system by elimination:
-2x + 2y + 3z = 0
-2x - y + z = -3
2x+ 3y + 3z = 5

Answers

Answer 1
First= -2x+2y+3z=0

= -2x+2y+3z +-2y=0+(-2y)

-2x+3z=-2y

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

-2x=-2y-3z

Divide both by negative two
-2x/-2=-2y-3z/-2

x=y+3/2z that’s the answer.


Use this to help you with other equations


Related Questions

I got this wrong can someone, please help me with this.

Answers

You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.

If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.

The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1

The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1

1 = 1, so these lines are parallel

Write the number in
standard form
6 tens+7=

Answers

Answer:

60 + 7 =

Step-by-step explanation:

its correct lol omg sjsjsjjsjsjsssjsjsnsnssn

Answer:

Answer: 67

10 x 6 + 7 = 67

The absolute value on number line

Answers

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative. The absolute value of 5 is 5.

Describe the possible values of x.​

Answers

Answer:

70x - 70 if it means 5 * 7 * (2x - 2)

Step-by-step explanation:

what is the slope of the line that contains these points x=12,13,14,15 y=-4,2,8,14

Answers

Answer:

6

Step-by-step explanation:

Fid the difference in the y-coordinates of any two points. This is the rise.

Then find the difference in the corresponding x-coordinates of the same points. This is the run.

slope = rise/run

Let's use x = 12, x = 15, and y = -4, y = 14.

rise = -4 - 14 = -18

run = 12 - 15 = -3

slope = rise/run = -18/(-3) = 6

Answer: slope = 6

The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys

Answers

Answer:

120, if I did it right

Step-by-step explanation:

In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.

in an experiment, the control variable is d and the response variable is e. which variable is not manipulated, but measured, and represents the data being recorded?

Answers

The control variable is used as a “normal” the response variable is the one being measured and/or recorded

Please help!
Simplify the expression using order of operations:25 - 5 + 36/9 - 6(7)

Answers

Answer:

-18

Step-by-step explanation:

Follow these steps to get your answer!

Divide 36/9 and multiply -6(7)

25 - 5 + 4 - 42

Subtract 25-5

20 + 4 -42

Add 4 to 20.

24-42

Subtract 42 from 24.

-18

Answer:

-18

Step-by-step explanation:

start with the figure in brackets. 6(7)=42

then do division. 36/9=4

our expression now is 25-5+4-42

addition first 25+4=29

finish with subtraction. 29-5-42=-18

answer=-18

What is the difference between –12 and –5?

Answers

Answer:

-7

Step-by-step explanation:

(-12)-(-5)

negative and negative make a positive

-12+5

= -7

Answer:

-7

Step-by-step explanation:

The population of the United States increased by 27323632 in 2011. What proportion of this change is accounted for by Florida population? Round to the nearest hundredth. The population change for Florida is 218929 in 2011. Plz help

Answers

Answer:

To the nearest hundredth, this has a value of 0.01

Step-by-step explanation:

To find the proportion of the population change accounted for by Florida population, we just need to divide the population change for Florida by the population change in the entire country;

Mathematically, that will be ;

218929/27323632 = 0.008012441391393

To the nearest hundredth, this represents 0.01

The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative

change in this situation. Round your answer to the nearest hundredth.


Absolute change=


Relative change=

Answers

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,5) and (3,-7)​

Answers

Steps:

Distance Formula = SQRT ( (X2-X1)^2 - (Y2-Y1)^2) )

Then,

X2: 3
X1: -6
Y2: -7
Y1: 5

Now,

D: SQRT ( (X2-X1)^2 + (Y2-Y1)^2) )
= SQRT ( (3+6)^2 + (-7-5)^2) )
= SQRT ( (9)^2 + (-12)^2) )
= SQRT ( 81 + 144 )
= SQRT ( 225 )
= 15

The Answer is 15 Units

The distance between points (-6,5) and (3,-7)​ is 15 units.

How to find the distance between two points?

In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Given the points  (-6,5) and (3,-7)​

Here x₁ = -6 , x₂ = 3

y₁ = 5 and y₂ = -7

So,

[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]

d = √225

d = 15 units.

Hence "The distance between points (-6,5) and (3,-7)​ is 15 units".

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Given h(x) = 5x + 3. what is the value of h(-11)

Answers

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

.What is 20/24(twenty-twenty fourths) to its most simplified form?

Answers

5/6 as in five sixths hope this helps!

Can someone please help me with this, I will mark you as brainliest

Answers

Answer:

1st answer is 1/2x^5

2nd answer is m^3/16p^2q^2

3rd answer is 2r^4+9r^3

the other one is 27​

Answers

Answer:

the scale factor is 9 and x = 58.5

Step-by-step explanation:

to get the scale factor just do DE/AB so 27/3

Jayda bought a magazine that costs 6 and seven bags of marshmallows jayda spends a total of 34. How much did each bag of marshmallows costs ?

Answers

Answer:

4

Step-by-step explanation:

First, you need to take the cost of the magazine off the total which Jayda spent

34-6=28

Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.

28÷7=4

Each bag of marshmallows costs 4

H-4/x =y solve for x

Answers

Answer:

x - 1

Step-by-step explanation:

What is
f(x) = x3 – 4x2 – 7x + 10 in factored form given that 5 is a zero of the function?

Answers

Answer:

(x-2)(x+1)(x-5)

Step-by-step explanation:

CAN SOMEONE HELP ME ASP!!
The profit function, P(x) , revenue function, R(x), and cost function, C(x), are related by the equation P(x)=R(x)-C(x) . Manuel has determined that the revenue and cost functions for a new product line at his business are given by these functions. R(x)=3x C(x)=600+2x. What is the profit function in standard form for Manuel's new product line

Answers

Answer:

P(x) = 5x - 600

Step-by-step explanation:

Given

Cost function C(x) = 600+2x

revenue function R(x) = 3x

If the profit function is related by the equation

P(x)=R(x)-C(x)

P(x)= 3x - (600-2x)

open the parenthesis

P(x) = 3x - 600 + 2x

P(x) = 3x+2x - 600

P(x) = 5x-600

Hence the profit function in standard form for Manuel's new product line is P(x) = 5x - 600

The length of a rectangle is 4 feet less than twice its width, while the perimeter is 15.

Answers

Answer:

width: 3.83

length: 3.66

Step-by-step explanation:

The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.

length + length + width + width = 15

(2w-4) + (2w-4) + w + w = 15  ... combine like terms

6w - 8 = 15  ... add 8 on both sides

6w = 15 ... divide both sides by 6

w = 3.83

Now that we know the value for the width we can plug it into the formula for the length to find its value

l = 2w - 4

l = 7.66 - 4

l = 3.66

Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66

(01.04 MC)
What is the slope of the line which passes through (2,5) and (3, 6)? (5 points)

Answers

Answer:1

Step-by-step explanation:6-5/3-2=1/1

PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.

Part A: Show your work to complete the square of the function. (1 point)

Part B: Identify the vertex of the function. (1 point)

Part C: Explain how to determine the maximum or minimum value of the function. (2 points)

Answers

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.

A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control

Answers

Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

= 1.0 + 0.00434

= 1.00434

Mr. Morales purchased 218 acres of land for his farm. If the total price of the land was $163,282, how much did each acre cost?

Answers

Answer:

$749 each

Step-by-step explanation:

Lisa,Amy and Pete decided to race up the stairs that has 24 steps.Lisa takes 2 steps Every Second,Amy takes 3 steps every second. If pete starts at the bottom,what should lisa and amy start on so that all three finish in a tie? please help with strategy.

Answers

Answer:

How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back

Why is it important to know where formulas come from?

to be able to derive the formula if needed
to be certain of calculations
to develop number sense
to memorize math symbols

Answers

Answer:

to be able to derive the formula if needed

Step-by-step explanation:

as you gain more class grades they sometimes ask you the origin of a certain formula that's why


What is the measure of BDC

Answers

Answer:

105 degrees

Step-by-step explanation:

180 - 75 = 105

What is the length of LA?

Answers

The length of LA in the triangle will be 8.

How to calculate the triangle?

From the information given, it was stated that both the triangles are similar.

In this situation, the length of LA will be:

= (12 × 4)/6

= 48/6

= 8

Therefore, the length of LA in the triangle will be 8.

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Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is

Answers

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]

[tex] slope(m) = \frac{1}{4} [/tex]

The slope of the line that is parallel to the blue line is ¼.

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