Question

Solve the equation. Check your solution.

$x+3.5=9.2$

Short answer

The solution for the equation is $y=9.2$.

Step-by-step solution

Step -1 - Apply the concept of Linear equation

In this type of question, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Sideto maintain the equality and to check put the number in the equation and if Left Hand Side & Right Hand Side is same then the value is correct.

Step -2 – Find the value of x by solving the inequality

Since, the equation is $x+3.5=9.2$.

Here, to simplify this equation, subtract $3.5$to both side on the above

$\begin{array}{l}x+3.5=9.2\\ x+3.5-3.5=9.2-3.5\\ x=5.7\end{array}$

Step -3 – Check the equation by putting the solution

Now, let take Left hand side first, $x+3.5=9.2$

Put $x=5.7$in the above equation

$\begin{array}{l}L.H.S:\\ =x+3.5\\ =5.7+3.5\\ =9.2\\ =R.H.S\end{array}$

Hence, Left Hand Side is equal to Right Hand Side. So, the solution is correct.