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Molodets [167]
3 years ago
15

HELP ! PLEASE examine the system of equations.

Mathematics
1 answer:
hoa [83]3 years ago
8 0

The solution is (x=\frac{-7}{2},\  y=\frac{-13}{2} ).

Solution:

Given system of equations are

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

-9 x+5 y=-1 ---------- (2)

To solve the given system of equations by substitution method.

Let us take the equation (1) and find the value of y.

(1) ⇒ -3 x+y=4

Add 3x on both sides of the equation, we get

⇒ y=4+3x

Substitute y = 4 + 3x in equation (2), we get

-9 x+5 (4+3x)=-1

-9 x+20+15x=-1

Combine like terms together.

-9 x+15x=-1-20

6x=-21

Divide by 6 on both sides of the equation.

$x=-\frac{21}{6}

Divide the numerator and denominator by the common factor 3.

$x=-\frac{21\div3}{6\div3}

$x=-\frac{7}{2}

Now, substitute x value in y = 4 + 3x, we get

$y=4+3\left(\frac{-7}{2} \right)

$y=4+\left(\frac{-21}{2} \right)

Take LCM of the denominators and make the same.

$y=\frac{8}{2} +\frac{-21}{2}

$y=\frac{-13}{2}

Hence the solution is (x=\frac{-7}{2},\  y=\frac{-13}{2} ).

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Answer:

20=4*5

Step-by-step explanation:

3 0
2 years ago
The owner of a local farm sells baskets of fresh tomatoes in the summer time. Each basket is priced according to its mass rounde
elixir [45]

Answer:

4 1/10 kg

Step-by-step explanation:

To find the total mass, we add the mass of the three baskets

1 1/10 + 1 3/10 + 1 7/10

Since they have the same denominator

 1   1/10

 1   3/10

 1   7/10

-------------

 3  11/10

Change the improper fraction to a mixed number

11/10 = 1 1/10

3 + 1 1/10

4  1/10

7 0
2 years ago
What is he diameter of a circle with a circumference of 235.5 cm
GalinKa [24]
Diameter of a circle = \frac{Circumference}{ \pi }
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6 0
3 years ago
A rectangular box is 6 inches wide 10 inches long and 2 inches tall how much wrapping paper is needed to cover the box exactly
stepladder [879]

Answer:

184 in²

Step-by-step explanation:

Given :

Width, w = 6 inches

Length, l = 10 inches

Height, h = 2 inches

To obtain how much wrapping paper is needed ; we take the surface area of the box

Surface area = 2(lw + lh + wh)

Surface area = 2((6*10) + (6*2) + (10*2))

Surface area = 2(60 + 12 + 20)

Surface area = 2(92)

Surface area = 184 in²

The amount of wrapping paper needed = 184 in²

7 0
3 years ago
Marjorie is playing a new board game the rule state that when a player's piece lands on a red square the player must pay a penal
alexdok [17]

Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.

---------------------

  • When the piece lands on the red square, the penalty is equal to <u>30 times the sum they roll on two numbers.</u>
  • Marjorie rolls 4 and 2, thus, the sum is 6.
  • The penalty is of 6 \times 30 = 180
  • She currently has 420, the penalty removes 180, thus, she will have 420 - 180 = 240 left after paying her penalty.

A similar problem is given at brainly.com/question/12166019

6 0
2 years ago
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