Question

Solve the system equation for X and using the elimination method .

Answer 1

Answer: 2х+5y=25=  Slope = -0.800/2.000 = -0.400

 x-intercept = 25/2 = 12.50000

 y-intercept = 25/5 = 5

so slope form =0,400

x intercept form = 12.50000

y intercept =5

and the answer to 2x+3y=-1=  Slope = 1.333/2.000 = 0.667

 x-intercept = 1/2 = 0.50000

 y-intercept = -1/3 = -0.33333

Step-by-step explanation:  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-25  = 0 and calculate its properties

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

 y-intercept = 25/5  =  5

When y = 0 the value of x is 25/2 Our line therefore "cuts" the x axis at x=12.50000

 x-intercept = 25/2  = 12.50000

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 5.000 and for x=2.000, the value of y is 4.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.200 - 5.000 = -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 = 25/2 = 12.50000

 y-intercept = 25/5 = 5