Answer: The answer would be t = 5/12
Explanation:
1 x 2/3 - t = 1/4
⇒ We need to add fractions.The following rule is applied:This example involves 2 terms.Note that 1 non-fractional terms are treated as fractions with denominator equal to 1. The LCD is equal to:3
2+(-3)t/3 = 1/4
2-3t/3=1/4
-3t+2/3=1/4
⇒ Simple numerical terms are commonly written last.
-3t+2/3=1/2^2
4(-3t+2)=3
-4x3t+4x2=3
⇒ Numerical factors in this term have been multiplied.
-12t+8=3
(-12t+8) + (-8) = 3+(-8)
-12t+8-8=3-8
-12t=-5
12t/12 =5/12
⇒ In order to isolate the variable in this linear equation, we need to get rid of the coefficient that multiplies it.This can be accomplished if both sides are divided by -12 .
Answer: t=5/12