Question

Solve the linear equation given as below:
$2m+7=9$

Answer 1

Hint: First subtract the constant term on both sides and simplify. Now you get an equation with m terms on the left side and constant on the right hand side. So when you divide the coefficient of m on both sides. The coefficient of m gets cancelled and you get an equation with only m on the left hand side. So at this position the constant on the right hand side will be the value of m. This value of m is required to result in this question.

Complete step-by-step solution -
Linear Polynomial: If the degree of polynomial is 1 then they are called linear polynomials. For example: \[x+1,x+2,x+3\] .
Degree of polynomial: The highest power of a variable in a polynomial is called its degree. For example: \[{{x}^{2}}+4x+2\] has degree of 2, \[x+1\] : degree of 1, \[{{x}^{3}}+1\] : degree of 3, 2 is a polynomial of degree 0.
Given expression in the question which we need to solve:
$\Rightarrow 2m+7=9$
Coefficients of variables on the left hand side and right-hand side are 2, 0.
However, the variable is only on the left hand side. So, we take the value of constants on the left hand side and right-hand side are 7, 9.
So, by subtracting 7 on both sides of equation, we get:
\[\Rightarrow 2m=9-7\]
By simplifying the above equation, we get equation as:
\[\Rightarrow 2m=2\]
As the coefficient of variable on left hand side is 2, do as follow:
By dividing with 2 on both sided, we get the value as:
\[\Rightarrow \dfrac{2m}{2}=\dfrac{2}{2}\]
By cancelling the common terms of equation, we get value of m as:
$\Rightarrow m=1$
Therefore, the value of m which satisfies $2m+7=9$ is 1.

Note: Here, Right hand side has no variable but if you have you must subtract. Alternate method is to keep all variable terms to the right-hand side and all constants to the left hand side anyways, you get the same result. Whenever you apply an operation on the left side, don’t forget to apply the same on the right. Generally, students forget that and lead to wrong answers.