Question

How do you solve \[4t - 2 = 14\] ?

Answer 1

Hint: We are given an equation with one variable. Solving the equation given is nothing but finding the value of that one variable from the given equation only. For that we will first separate the terms with variables from constants. That is taking the variable on one side of the equation. Then solve the operations step by step. At the end we will get the value of t.

Complete step-by-step answer:
Given that,
 \[4t - 2 = 14\]
This is the equation with one variable.
Now taking 2 on RHS,
 \[ \Rightarrow 4t = 14 + 2\]
Adding numbers on RHS,
 \[ \Rightarrow 4t = 16\]
Now take 4 on RHS so that variable is separated,
 \[ \Rightarrow t = \dfrac{{16}}{4}\]
Now divide 16 by 4,
 \[ \Rightarrow t = 4\]
This is our final answer for the solution of the given equation.
So, the correct answer is “t = 4”.

Note: Given is an equation with one variable only so it should have only one fixed solution. That is only one value will satisfy this equation. Note that when we solve this type of equation we try to separate the variable from the given remaining terms. If we are given two such terms of the same variable then first perform the operation in between and then proceed to solve. Like
 \[ \Rightarrow 4t - 2 + 3t = 16\]
Is the equation given then we will first add the two terms with t and then solve further.
 \[ \Rightarrow 7t - 2 = 16\]
This is now similar to the equation so given to us. Also we can face square roots or squares of the variable terms so we will solve accordingly.
Also note that when a term shifts either from left to right or from right to left it changes its sign.