Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
83*x+p-(83*x+q)=0
1.1 Solve p-q = 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 p-q = 0 and calculate its properties
Notice that when x = 0 the value of p is 0/-1 so this line "cuts" the p axis at p=-0.00000
p-intercept = 0/-1 = -0.00000 Calculate the X-Intercept :When p = 0 the value of x is 0/1 Our line therefore "cuts" the x axis at x= 0.00000
x-intercept = 0/1 = 0.00000 Calculate the Slope :Slope is defined as the change in p divided by the change in x. We note that for x=0, the value of p is 0.000 and for x=2.000, the value of p is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 0.000 = 2.000 in p. (The change in p is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1 Geometric figure: Straight Line Slope = 1 x-intercept = 0/1 = 0.00000 p-intercept = 0/-1 = -0.00000Given equation : 83x+P=83x+Q.
We need to determine, for what value of P and Q result in equation with no solutions.
We can see that 83x equals 83x.
So, if P would be equal to Q, it would make infinitely many solutions.
But we need to get the values of P and Q that would make no solutions.
