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dexar [7]
2 years ago
9

¿Qué pasa cuando nos enfrentamos con dos incógnitas, en el caso de que las ecuaciones que se generen sean de primer grado y form

en un sistema de ecuaciones?
Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0
<h2>Explicación:</h2><h2 />

Una ecuación de primer grado es una ecuación lineal en la que se ven involucradas una o más variables, sin existir productos entre ellas. Por ejemplo, una ecuación de primer grado con dos incógnitas es:

y=mx+b \\ \\m:pendiente \\ \\ b:y-intercept

De manera que un sistema de ecuaciones con dos incógnitas podría ser:

y=m_{1}x+b_{1} \\ \\ y=m_{2}x+b_{2}

que representan ecuaciones de rectas.

Existen tres posibilidades:

1. Una solución:

Ocurre cuando las rectas no son paralelas, es decir:

m_{1}\neq m_{2}

Entonces la solución es la intersección de estas dos rectas.

2. Infinitas soluciones:

Ocurre cuando las ecuaciones son las mismas, en cuyo caso las rectas son las mismas y se intersectan en todos los puntos, es decir:

m_{1}=m_{2} \\ \\ b_{1}=b_{2}

3. Ninguna solución:

Ocurre cuando las rectas son paralelas pero tienen distinta intersección con el eje y, es decir:

m_{1}=m_{2} \\ \\ b_{1}\neq b_{2}

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if a, b, and c are prime numbers, do (a b) and c have a common factor that is greater than 1? (1) a, b, and c are all different
klio [65]

If a,b, and c are prime numbers, do (a*b) and c have a common factor that is greater than 1

(1) a,b, and c are all different prime numbers

(2) c≠2

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a b = 1*3 = 3

3 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a *b = 1*3 = 3

3 and 2 does not have a common factor aside 1

2. c \neq 2

Let's assume values of 2,7 and 3 to a b and c response

a * b = 2 *7 = 14

14 and 3 does not have a common factor aside 1

learn more about of prime number here

brainly.com/question/14410795

#SPJ4

8 0
1 year ago
Please someone answer this, “what is the area of triangle ABC?”
prisoha [69]

Here's the solution,

The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

\dfrac{ \sqrt{3} }{4}  {a}^{2}

where,

  • a = 8 ( side measure )

=》

\dfrac{ \sqrt{3} }{4}  \times 8 \times 8

=》

\sqrt{3}  \times 16

=》

16 \sqrt{3} \:  \:  \:  cm {}^{2}

or

=》

27.71 \:  \: cm {}^{2}

4 0
2 years ago
3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4
weqwewe [10]
<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

6 0
3 years ago
I need help please and thank you
marta [7]
So what u need to do is

46+x=180 and u will get the answer
5 0
3 years ago
The amount of an invoice is $1000, with terms 2/10, n45. The amount to be paid within the discount period is:
just olya [345]

Answer:The amount to be paid within the discount period is $980

Step-by-step explanation:

The term 2/10, n45

means that 2%  discount is  offered if the amount of invoice is paid within 10 days from the date of invoice .

n/45 means that the buyer will pay the full amount within 45 days if he /she does not pay within the discount period of 10 days .

Now if the amount is to be paid within the discount period, the amount will be

Amount to be paid= $1000- 2% of 1000

= $1000-20

=$980

6 0
3 years ago
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