• Asignatura: Matemáticas
  • Autor: silviauicabhoil
  • hace 7 años

AYUDA
3x+y= -3
2x+5y= -15

Respuestas

Respuesta dada por: alejandrabaxin24
0

2x+5y=-15  

Geometric figure: Straight Line

 Slope = -0.800/2.000 = -0.400

 x-intercept = -15/2 = -7.50000

 y-intercept = -15/5 = -3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x+5*y-(-15)=0  

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   2x+5y+15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x+5y+15  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

 y-intercept = -15/5  =  -3  

Calculate the X-Intercept :

When y = 0 the value of x is -15/2 Our line therefore "cuts" the x axis at x=-7.50000

 x-intercept = -15/2  = -7.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -3.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.800 - (-3.000) = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.800/2.000 = -0.400  

Geometric figure: Straight Line

 Slope = -0.800/2.000 = -0.400

 x-intercept = -15/2 = -7.50000

 y-intercept = -15/5 = -3

LO HICE PARA UN TRABAJO DE INGLES NOMAS TRADUCELO

3x+y=-3  

Geometric figure: Straight Line

 Slope = -6.000/2.000 = -3.000

 x-intercept = -3/3 = -1

 y-intercept = -3/1 = -3.00000

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*x+y-(-3)=0  

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   3x+y+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x+y+3  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

 y-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When y = 0 the value of x is -1/1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = -3/3  =  -1  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -9.000 - (-3.000) = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -6.000/2.000 = -3.000  

Geometric figure: Straight Line

 Slope = -6.000/2.000 = -3.000

 x-intercept = -3/3 = -1

 y-intercept = -3/1 = -3.00000

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Terms and Topics

Properties of a Straight Line

Relate

Respuesta dada por: IFernandoI
1

Respuesta:

x = 0

y = - 3

Explicación paso a paso:

x = (- 3 - y) / 3

x = (- 15 - 5y) / 2

(- 3 - y)/3 = (-15 -5y)/2

(- 3 - y)(2) = (-15 -5y)(3)

-6 -2y = -45 - 15y

39 = - 13y

y = - 3

3x + (- 3) = -3

3x = 0

x = 0

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