MATHEMATICS MIDDLE SCHOOL

5. WHAT IS THE SOLUTION TO THE SYSTEM?
5x – 2y + z = 0
2x – y + z = 3
3x + 4y = 18

Answers

Answer 1
Answer:

Answer:

x= 2/5 y - 1/5 z

x= 3/2 + 1/2 y -1/2 z

x = 6 - 4/3 y

Step-by-step explanation:

5x – 2y + z = 0

5x=2y-z

* Moving variables to the right side and changing their signs

* divide both sides by 5

Answer: x= 2/5 y - 1/5 z

2x - y + z = 3

2x = 3 + y - 2

Answer: x= 3/2 + 1/2 y -1/2 z

* move variables to the right sides and change their signs

* divide both sides by 2

3x + 4 y = 18

3x/3 = 18 - 4/3

Answer: x = 6 - 4/3 y

* Move variables to the right side and change its sign

* divide both sides by 3

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The variables y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y when x = 3? Enter your answer in the box. y =

Answers

The value of Y = 13.5

Given that,

  • y and x have proportional relationship.
  • y = 9 when x= 2
  • We need to find the value of y, when X = 3.

According to the scenario, calculation of given data are as follows,

(9)/(2) = (y)/(3)

y = 27 / 2

y = 13.5

Learn more : brainly.com/question/19389388

Answer:

x=3 y= 13.5

Step-by-step explanation:

9/2 = y/3.....9 to 2 = y to 3

cross multiply

(2)(y) = (9)(3)

2y = 27

y = 27/2

y = 13.5

What is 403.608 in word form

Answers

Four hundred three and six hundred and 8 
four hundred three and six hundred eight thousandths

Is it considered a parallelogram?

Answers

c

..................................

An angle measures 125 through what fraction of a circle does the angle turn

Answers

Answer:  Fraction of a circle the angle turn is (25)/(72)

Step-by-step explanation:

Since we have given that

Measure of an angle = 125°

As we know that

Total angle formed by a circle = 360°

So, Fraction of a circle when the an angle 125° turn is given by

(125)/(360)\n\n=(25)/(72)

Hence, Fraction of a circle the angle turn is (25)/(72)
whole circle=360
125/360=25/72=

fraction is 25/72 of the circle

I have one half of a square and i want to divide it one eighth how many pieces would I have

Answers

You will have 4 pieces.

Explanation

Suppose, the number of pieces is x

As each piece must be (1)/(8) of a square and you have initially (1)/(2) of a square, so the equation will be.....

(1)/(8)x= (1)/(2)\n \n x= (1)/(2)*8 = 4

So, you will have 4 pieces.

Calculate the area of a circle with radius=6cm. Leave your answer in terms of pi

Answers

The Area of a Circle is:
A = \pi r ^(2)

Thus r = 6cm so:
A = 36 \pi cm^(2)
the answer to this is A≈113.1cm²
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