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 $6/6 =1 " and "3/6=1/2$

$r= p/2$