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ANEK [815]
3 years ago
8

Solve the system of equations. 5x – 4y = -10 y = 2 x – 5 x = y =

Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

5x – 4y = -10

y = 2 x – 5

Rearrage the equation:

5x – 4y = -10 (1)

-2 x +y =  5.  (2)

pluging variable y equation2 in 1

5x - 4•(2x-5) = -10

 -3x = -30

Solve equation [1] for the variable  x  

3x = 30

x = 10

x = 10

y = 2x-5

Use the  x  value to solve for  y  

y = 2(10)-5 = 15

x= 10

y= 15

Natali [406]3 years ago
4 0

Answer:

6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2

Step-by-step explanation:

I just know.

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The state of Georgia is divided up into 159 counties. Consider a population of Georgia residents with mutually independent and e
harkovskaia [24]

Answer:

\frac{159^{n} -(\left \{ {{159} \atop {n}} \right.)*n! ) }{159^{n} }

Step-by-step explanation:

number of counties = 159

n number of people are mutually independent and equally likely home locations

considering the details given in the question

n ≤ 159

The number of ways for people ( n ) will live in the different counties (159) can be determined as (\left \{ {{159} \atop {n}} \right} )

since the residents are mutually independent and equally likely home locations hence there are : 159^{n} ways for the residents to live in

therefore the probability = \frac{159^{n} -(\left \{ {{159} \atop {n}} \right.)*n! ) }{159^{n} }

4 0
4 years ago
The price of a cd was decreased by 20% to £7.68. What was the price before the decrease?
aleksandrvk [35]

Answer:

£9.6

Step-by-step explanation:

x = the original price of a CD

£x = 100% of the original price

The price of a CD was decreased by 20% to £7.68.

This means:

£7.68 = 100% - 20%

£7.68 = 80% of the original price

From this, we will find 1% of the original price.

£7.68 ÷ 80 = 1%

£0.096 = 1%

Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.

£0.096 × 100 = 100%

£9.6 = 100%

Therefore, the original price of a CD = £9.6

4 0
4 years ago
Is 3/x+4/y=2 linear or non-linear
Eduardwww [97]

The given equation is non-linear.

Solution:

Given expression is \frac{3}{x} +\frac{4}{y} =2.

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ \frac{3}{x} +\frac{4}{y} =2

Do cross multiply for the fractions to make the denominators same.

⇒ \frac{3y}{yx} +\frac{4x}{yx} =2

⇒ \frac{3y+4x}{yx} =2

Do cross multiplication.

⇒ 3y+4x=2yx

⇒ 4x+3y-2yx=0

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.

5 0
3 years ago
What is the relationship between a conjecture, a theorem, two column proof
Afina-wow [57]
Conjecture
is an educated guess based on known information. Reached by using inductive reasoning
4 0
3 years ago
What expressions have a value of 16/81 ​
Flura [38]

Answer:

(2/3)⁴, (4/9)² apply to 16/81

Step-by-step explanation:

16/81

8 * 2/27 * 3

4 * 2 * 2/9 * 3 * 3

2 * 2 * 2 * 2/3 * 3 * 3 * 3

7 0
3 years ago
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