Question
Question: How do you solve \(\dfrac{n}{3} - 5 = 12\)?...
How do you solve 3n−5=12?
Solution
In order to determine the value of variablen in the above equation use the rules of transposing terms to transpose terms having non the Left-hand side and constant value terms on the Right-Hand side of the equation. Solving like terms and multiplying both sides of the equation with the denominator of variablenwill lead to your required result.
Complete step by step solution:
We are given a linear equation in one variable 3n−5=12.and we have to solve this equation for variable (x).
⇒3n−5=12
Now combining like terms on both of the sides. Terms having nwill on the Left-Hand side of the equation and constant terms on the right-hand side .
Let’s recall one basic property of transposing terms that on transposing any term from one side to another the sign of that term gets reversed .In our case,−5in the left hand side will become 5on the right hand side .
After transposing terms our equation becomes
⇒3n=12+5
Now, solving the Right-hand side, the value of nis
3n=17
n = 51
Therefore, the solution to the equation 3n−5=12is equal to n=51.
Note: Linear Equation: A linear equation is an equation which can be represented in the form of ax+cwhere xis the unknown variable and a,c are the numbers known where a=0.
If a=0then the equation will become a constant value and will no longer be a linear equation .
The degree of the variable in the linear equation is of the order 1.