Question

If 5t – 3 = 3t - 5, then find the value of t?
A. -1
B. -2
C. 1
D. 2

Answer 1

Hint: In this question, t is a variable, whose value is unknown to us which can take any value. Equations are like a balance scale. If You have seen a balance scale, you would know that an equal amount of weight has to be placed on either side for the scale to be considered ‘balanced ‘. Equations follow the same logic.

Complete step-by-step answer:
5t – 3 = 3t – 5 is a linear equation having a single variable in it. Therefore, this equation has only one solution.
Given expression:
$ \Rightarrow $5t – 3 = 3t - 5
$ \Rightarrow $5t – 3t = -5+3,
$ \Rightarrow $2t = -2
$ \Rightarrow $ t = -1
Therefore, we can write:
Value of ‘t’ is $ - 1$ in this case.
So, option A is correct.

Note: After getting the value of the unknown quantity, you can recheck it by putting in the given equation. If LHS = RHS comes then the value is correct. To avoid committing an error that tips the equation out of balance, make sure that any change on one side of the equation reciprocates on the other side. For example, if you want to add a number 5 to one side of the equation you will have to add the same 5 to the other side of the equation.