Solve for R: T = 1/3R - 15?

2 Answers
smendyka
Sep 3, 2017

See a process below:

Explanation:

Step 1) Add color(red)(15) to each side of the equation to isolate the R term while keeping the equation balanced:

T + color(red)(15) = 1/3R - 15 + color(red)(15)

T + 15 = 1/3R - 0

T + 15 = 1/3R

Step 2) Multiply each side by color(red)(3) to solve for R while keeping the equation balanced:

color(red)(3)(T + 15) = color(red)(3) xx 1/3R

color(red)(3)T + (color(red)(3) xx 15) = color(red)(3)/3R

3T + 45 = 1R

3T + 45 = R

R = 3T + 45

EZ as pi
Sep 3, 2017

R = 3(T+15)

Or

R =3T+45

Explanation:

You need to make R the subject of the formula.

color(blue)(1/3R)-15 = T" "larr isolate the term which contains R

Add 15 to both sides to get:

1/3color(red)(R)= T+15" "larr isolate R by multiplying by 3

R = 3(T+15)

This can also be simplified to

R =3T+45

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