Given relationship: color(green)(y=1/3x" "...Equation(1)
We will also need x="something" so lets deal with that
Multiply both sides by color(red)(3). This will turn the 1/3 from 1/3x into 1. I am doing this because 1xx x =x
color(green)(y=1/3xx x color(white)("dddd")->color(white)("dddd")ycolor(red)(xx3)color(white)("d")=color(white)("d")1/3color(red)(xx3)xx x)
color(green)(color(white)("dddddddddddd.")->color(white)("dddddd")3y color(white)("d")= color(white)("d")color(red)(3)/3xx x
color(green)(color(white)("dddddddddddd.")->color(white)("dddddd.")3ycolor(white)("d")=color(white)("d")x" ".....Equation(2)
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color(blue)("Consider the pair "(x,y)->(color(red)(-3),y_1))
Need to determine y_1 so using Eqn(1)
color(green)(y=1/3x color(white)("ddd")->color(white)("ddd")y= 1/3xx color(red)((-3)))
color(green)( color(white)("ddddddddd")->color(white)("ddd")y=-1)
color(white)("dddddd")color(blue)( (-3,y_1)->(-3,-1) )
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color(blue)("Consider the pair "(x,y)->(color(red)(0),y_2))
Need to determine y_2 so using Eqn(1)
color(green)(y=1/3x color(white)("ddd")->color(white)("ddd")y= 1/3xx color(red)((0)))
color(green)( color(white)("ddddddddd")->color(white)("ddd")y=0)
color(white)("dddddd")color(blue)( (0,y_2)->(0,0 ) )
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color(blue)("Consider the pair "(x,y)->(x_1,color(red)(3),))
Need to determine x_1 so using Eqn(2)
color(green)(3y=x_1 color(white)("ddd")->color(white)("ddd")3xxcolor(red)(3)= x_1)
color(green)( color(white)("ddddddddd")->color(white)("ddd")x_1=9)
color(white)("dddddd")color(blue)( (x_1,3)->(9,3) )