One way to find the value of 6t is to find the value of one t and then multiply it by 6.
Finding the value of 1 t
3t - 7 = 5t 1) Subtract 3t from both sides to get all the t terms on the same side After you subtract, you get this: - 7 = 2t
2) Divide both sides by 2 to isolate t Dividing both sides by 2 gives you this: - 7/2 = t ~~~~~~~~~~~~~~~~~~~~~~~~~~ If one t is worth - 7/2, then 5t = 5 ( -7/2) 5t = - 35/2
Also, if 1t = - 7/2, then 6t = 6 ( -7/2) 6t = - 42/2 <-- answer Reduced to lowest terms 6t = - 21 <-- same answer ~~~~~~~~~~~ If you just subtract 3t from both sides of the original equation, you will quickly get an answer for "2t" 3t - 7 = 5t 1) Subtract 3t from both sides - 7 = 2t
Once you know how much "2t" is, you can find "6t" by multiplying by 3 2t = - 7 3(2t) = 3 (- 7) 6t = - 21 <-- same answer ~~~~~~~~~~~~~~~~~~ Answer: If 5t = 3t - 4 <-- given in the problem Then 1t = - 7/2 2t = - 7 6t = - 42/2 = - 21 <-- answer ~~~~~~~~~~ Note: 3 minus 7 doesn't really give 4. 3 - 7 gives MINUS 4 3 - 7 = - 4 7 - 3 = 4