Question

How do you solve and check your solution given $y + 3.5 = 14.9$?

Answer 1

Hint: Take the given expression and move the constant term on the opposite side, when you move any term from one side to another then the sign of the terms also changes. And then will simplify for the value of “y”.

Complete step-by-step solution:
Take the given expression: $y + 3.5 = 14.9$
Move constant from one side of the equation to the opposite side. If you move any term from one side to the opposite side, then the sign of the term also changes. Positive terms become negative and vice-versa.
$\Rightarrow y = 14.9 - 3.5$
Simplify the above expression finding the difference of two terms.
$\Rightarrow y = 11.4$ …. (A)
Now, to check the solution, take left hand side of the equation-
LHS $ = y + 3.5$
Place the value from the equation (A)
LHS $ = 11.4 + 3.5$
Simplify the above expression –
LHS $ = 14.9$
The above expression is equal to the right hand side of the equation.
Therefore, $LHS = RHS$
Hence, the given solution is verified.

Note: Always remember that when you move any term from one side of the equation to the opposite side then the sign of the terms also changed. Positive term changes to negative term and the negative term changes to the positive term. Also, when you want to verify the equation then always solve one side of the equation and simplify to check if it is equal to the other side of the equation.