How do you solve for R in $T + R = M$ $T+R=M$ ?

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Answer 1 · 2016-03-30T13:51:45

$R = M - T$ $" "R=M-T$

Given: $T + R = M$ $" "color(brown)(T+R=M)$

To solve for R your objective is to have R on its own on one side of the equals sign and everything else on the other side.

To have R on its own wee need to remove the 'T'

What you do to one side of an equation you do the other

Subtract (remove) $T$ $color(blue)( T)$ from both sides giving

$T - T + R = M - T$ $color(brown)(Tcolor(blue)(-T)+R" "=" "Mcolor(blue)(-T))$

But $T - T = 0$ $T-T=0$ giving

$0 + R = M - T$ $" "0+R=M-T$

$R = M - T$ $" "R=M-T$

How do you solve for R in T+R=MT+R=MT+R=M?