Quiz about SISTEMA DE ECUACIONES Y DESIGUALDADES

Question 1

Resolver el siguiente sistema de ecuaciones:

$$\frac{20x+7}{9}-\frac{4x+y}{2}=2\ \ \ ;\ \ \ \frac{7x+1}{4}-\frac{2x-2y}{6}=x$$

Accepted Answer

$$x=1\ ,\ y=-2$$

Answer

$$x=-1\ ,\ y=2$$

Answer

$$x=-1\ ,\ y=-2$$

Answer

$$x=1\ ,\ y=2$$

Question 2

Resolver el siguiente sistema de ecuaciones:

$$\frac{2}{3}x-\frac{3}{4}y=\frac{1}{6}\ \ \ ;\ \ \ \frac{y}{8}-\frac{5x}{6}=12$$

Accepted Answer

$$\left(-\frac{433}{26},\ -\frac{586}{39}\right)$$

Answer

$$\left(\frac{433}{26},\ -\frac{586}{39}\right)$$

Answer

$$\left(-\frac{433}{26},\ \frac{586}{39}\right)$$

Answer

$$\left(\frac{433}{26},\ \frac{586}{39}\right)$$

Question 3

Resolver el siguiente sistema de ecuaciones:

$$x^2=4y\ \ ;\ \ x+2y=4$$

Accepted Answer

$$x_1=-4,\ y_1=4\ ;\ x_2=2\ ;\ y_2=1$$

Answer

$$x_1=5,\ y_1=1\ ;\ x_2=-5\ ;\ y_2=-3$$

Answer

$$x_1=1,\ y_1=-3\ ;\ x_2=-1\ ;\ y_2=4$$

Answer

$$x_1=-1,\ y_1=-4\ ;\ x_2=1\ ;\ y_2=2$$

Question 4

Resolver el siguiente sistema de ecuaciones

$$x^2+y^2=13\ \ ;\ \ \ xy=6$$

Accepted Answer

$$x_1=\pm2,\ y_1=\pm3;\ x_2=\pm3\ ,y_2=\pm2$$

Answer

$$x_1=\pm5\ ,\ y_1=\pm3;x_2=\pm3,\ y_2=\pm5$$

Answer

$$x_1=\pm4,\ y_1=\pm5\ ;\ x_2=\pm5,\ y_2=\pm4$$

Answer

$$x_1=\pm1,\ y_1=\pm3\ ;\ x_2=\pm3\ ;\ y_2=\pm1$$

Question 5

Resolver:

$$\frac{2-x}{x+1}>0$$

Accepted Answer

$$x\ \epsilon\ \left(-1,2\right)$$

Answer

$$x\ \epsilon\ \left(1,2\right)$$

Answer

$$x\ \epsilon\ \left[-1,2\right]$$

Answer

$$x\ \epsilon\ \left[1,2\right]$$

Question 6

Si $$\left(x-3\right)^2\le0$$ entonces se cumple que:

Accepted Answer

$$x=3$$

Answer

$$x\ge3$$

Answer

$$x\le3$$

Answer

Ninguna

Question 7

Resolver:

$$\frac{x^2-5x}{x+2}\ge0$$

Accepted Answer

$$x\ \epsilon\ \left(-2,0\right]\ \cup\left[5,+\infty\right)$$

Answer

$$x\ \epsilon\ \left[-2,0\ \cup\left[5,+\infty\right)\right]$$

Answer

$$x\ \epsilon\ \left(-2,0\right)\ \cup\left[5,+\infty\right)$$

Answer

$$x\ \epsilon\ \left(-2,0\right]\ \cup\left(5,+\infty\right)$$

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