APLICA ... Resuelve los sistemas de ecuaciones usando el método de igualación.
2x-4y=5
3x+6y=2
Respuestas a la pregunta
Respuesta:
2x-4y=5
Explicación paso a paso:
3x+6y=2
Respuesta:
3x+6y=2
Geometric figure: Straight Line
Slope = -1.000/2.000 = -0.500
x-intercept = 2/3 = 0.66667
y-intercept = 2/6 = 1/3 = 0.33333
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+6*y-(2)=0
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3x+6y-2 = 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+6y-2 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 1/3 so this line "cuts" the y axis at y= 0.33333
y-intercept = 2/6 = 1/3 = 0.33333
Calculate the X-Intercept :
When y = 0 the value of x is 2/3 Our line therefore "cuts" the x axis at x= 0.66667
x-intercept = 2/3 = 0.66667
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 0.333 and for x=2.000, the value of y is -0.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.667 - 0.333 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.000/2.000 = -0.500
Geometric figure: Straight Line
Slope = -1.000/2.000 = -0.500
x-intercept = 2/3 = 0.66667
y-intercept = 2/6 = 1/3 = 0.33333
Explicación paso a paso: R porfavor nomas lo traduces R
2x-4y=5
Geometric figure: Straight Line
Slope = 1.000/2.000 = 0.500
x-intercept = 5/2 = 2.50000
y-intercept = 5/-4 = -1.25000
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x-4*y-(5)=0
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 2x-4y-5 = 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-4y-5 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/-4 so this line "cuts" the y axis at y=-1.25000
y-intercept = 5/-4 = -1.25000
Calculate the X-Intercept :
When y = 0 the value of x is 5/2 Our line therefore "cuts" the x axis at x= 2.50000
x-intercept = 5/2 = 2.50000
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 -1.250 and for x=2.000, the value of y is -0.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.250 - (-1.250) = 1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Geometric figure: Straight Line
Slope = 1.000/2.000 = 0.500
x-intercept = 5/2 = 2.50000
y-intercept = 5/-4 = -1.25000