<img src="https://tex.z-dn.net/?f=3x%20-%202y%20%3D%2043x%20%2B%202y%20%3D%208" id="TexFormula1" title="3x

All categories

Molodets [167]

2 years ago

alt="3x - 2y = 43x + 2y = 8" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

den301095 [7]2 years ago

5 0

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

You might be interested in

Josh created a pattteren .20 tiles were blue . For the rest of the patteten he used equal numbers of red and white tiles . 40 pe

uranmaximum [27]

Can you please mark me brainlist

7 0

3 years ago

Mr rai bys a radio for rs 1880ans sell it to mr Sherpa at 20 percent .how much money does he pay for it

DanielleElmas [232]

Answer:

Rs 1504

Step-by-step explanation:

Mr. Rai buys for Rs 1880.

He sells it to Mr. Sherpa at 20% discount.

1880 × 20%

= 376

1880 - 376

= 1504

Mr. Sherpa buys it for Rs 1504.

6 0

4 years ago

Read 2 more answers

Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the

Amiraneli [1.4K]

Let y represent the original price of the game.
Ella purchased a game that was on sale for 12% off, so she purchased at 0.88y
sales tax in her county is 6%

 final cost = 1.06(0.88y)

answer

1.06(0.88y)

5 0

3 years ago

Read 2 more answers

At prom, Dina asks a boy to dance. A moment later, her friend decides to ask a boy to dance, too.

leonid [27]

Answer:

Dina's friend is jealous of Dina's confidence so she wanted to "what up" her :)

Step-by-step explanation:

3 0

3 years ago

Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.