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mel-nik [20]
3 years ago
6

(Sugg eous equations. 3x + 2y = 12 4x – y = 5

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

Answer:

1 × (3x + 2y = 12)

2 × (4x - y = 5)

3x + 2y = 12

+ (8x - 2y = 10)

= 11x = 22

divide both sides by the coefficient of 'x' (11)

Therefore x = 2

put (x = 2) in equation 1

3(2) + 2y = 12

6 + 2y = 12

2y = 12 - 6

2y = 6

divide both sides by the coefficient of 'y'(2)

Therefore y = 3

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What is the result of subtracting the second equation from the first? \begin{aligned} -7x-y &= 0 \\\\ 7x+8y &= -6 \end{a
Kitty [74]

Answer:

-14x-9y=6

Step-by-step explanation:

We are given with two equations

first equation is  -7x-y=0

second equation is

7x+8y=-6

we find the result of subtracting two equation

subtract the second equation from the first, so

first equation - second equation, multiply second equation by -1  and then add it with first equation

-7x-y=0

-7x-8y=+6

Now add both equations, we get

-14x-9y=6

3 0
3 years ago
Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with di
IceJOKER [234]

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that <u>1,000 cm cubed = 1 liter </u>

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

6 0
3 years ago
Determine the image of the point (-5, 2) under a rotation of 90° about the origin.
8_murik_8 [283]

Answer:

  (2, 5)

Step-by-step explanation:

Rotation clockwise 90° can be accomplished by the transformation ...

  (x, y) ⇒ (y, -x)

so

  (-5, 2) ⇒ (2, 5)

5 0
3 years ago
Annual rent $ 7,380
jeyben [28]

Answer:

Part A:

Rent = $7380

Mortgage payments = $9800

Insurance = $145

Taxes, insurance, maintenance = 1780+1050 = $2830

Loss of Interest on security deposit = (650*6%) = $39

Interest lost on down payment and closing cost = (4,500*6%) = $270

Growth in equity = $225

Annual appreciation = $1700

Tax savings for mortgage interest = (9,575*28%) = $2,681

Tax savings for property taxes = (1,780*28%) = $498

Total rental cost = 7,380+145+39=7,564 dollars

Total buying costs = 9,800+2,830+270-225-1,700-2,681-498=7,796 dollars

Part B:

You should consider rent because the cost of renting is less than the cost of buying.

7 0
3 years ago
Simplify the following rational expression and express in expanded form.
VladimirAG [237]

Answer:

D m =  -\frac{3}{8}

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> \frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}

=> -\frac{2m + 1}{8m + 3}

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> -\frac{2m + 1}{8(-\frac{3}{8} ) + 3} = -\frac{2m + 1}{-3 + 3} = -\frac{2m + 1}{0}

in this case, the values of m from option D make the denominator of the fraction equals 0.

6 0
3 years ago
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