Question

Solve the equation \[3y + 39 = 8\].

Answer 1

Hint:
Here we need to find the value of the given variable. We will use different mathematical operations like multiplication, division and subtraction on the given linear equation to find the required answer. A linear equation is an equation with the highest degree of variable as 1.

Complete step by step solution:
Here we need to solve the given equation i.e. we need to find the value of the given variable.
The given equation is \[3y + 39 = 8\].
Now, we will subtract the number 39 from both sides of the equation.
\[ \Rightarrow 3y + 39 - 39 = 8 - 39\]
On further simplifying the terms, we get
\[ \Rightarrow 3y = - 31\]
Now, we will divide both sides of the equation by the number 3.
\[ \Rightarrow \dfrac{{3y}}{3} = \dfrac{{ - 31}}{3}\]
On further simplifying the terms on both the sides, we get
\[ \Rightarrow y = \dfrac{{ - 31}}{3}\]
Hence, the value of the variable used in the given equation is equal to \[\dfrac{{ - 31}}{3}\].

Thus, the solution of the required equation is equal to \[\dfrac{{ - 31}}{3}\].

Note:
Here we have obtained the value of the variable used in the given equation and hence the solution of the given equation. There are only one variable present in the equation, so we have obtained the value of the variable easily but if there are two variable present in the equation then to obtain the solution i.e. to get the value of the two variables, we will require two equations and we will solve the two equations using the method of elimination.