Question

Solve the equation below. Show all steps for full points. 7r + 13 = 7 + 6r

Answer 1

Answer:

r = - 6

Step-by-step explanation:

Given

7r + 13 = 7 + 6r ( subtract 6r from both sides )

r + 13 = 7 ( subtract 13 from both sides )

r = - 6

Answer 2

Answer:

$\boxed{r=-6}$

Step-by-step explanation:

$All~you~have~to~do~is~collect ~the ~constants~ on ~one ~side ~of ~the~ =~ and$ $the~variables~(including~terms~with~r)~ on ~the~ other~ side.~ Then,$ $manipulate~it,~ so~ that~ you~ only~ have~ a ~single ~r~on~ its~ own~ on~ one~ side$ $and ~everything~ else~ on~ the ~other.$

Applying the method :

→ $Subtract ~6r~from~ both ~sides:$

$6r-6r+7~~=~~13+7r-6r$

         $0+7~~=~~13+r$

→ $Subtract~13~from~both~sides:$

$7-13~~=~~13-13+r$

     $-6~~=~~0+r$

          $r=-6$

The short cut approach for add or subtract is:

$Move~ something~ to~ the~ other ~side ~of~ the~ ``=" ~and ~change~its~ sign.$