How do you solve for r: r = 3p - 5r?

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Answer 1 · 2016-03-06T17:10:56

#r= p/2#

Given:#" "color(brown)(r=3p-5r)#

#color(blue)("Method")#

Collect and manipulate the terms until you have just one #r# on the right hand side of the equals and everything on the other side.

#color(blue)("Solving your question")#

#color(green)("Collecting terms")#

Add #color(blue)(5r)# to both sides

#color(brown)(r color(blue)(+5r)=3p-5r color(blue)(+5r))#

#6r=3p+0#

#color(green)("Manipulating so that there is only one "r)#

Divide both sides by #color(blue)( 6)#

#color(brown)(6/(color(blue)(6)) r= 3/color(blue)(6) p)#

But # 6/6 =1 " and "3/6=1/2#

#r= p/2#