Question

Solve the given linear equation for y:
$y+1.2y=4.4$

Answer 1

Hint: The above equation is a linear equation in one variable. Simplify the left-hand side of the equation by adding y and 1.2y then the addition will result to 2.2y. Now, we have got $2.2y=4.4$.For finding the value of y, divide 4.4 by 2.2. Hence, the answer that we got is $y=2$.

Complete step-by-step solution -
The equation given in the question that we have to solve is:
$y+1.2y=4.4$
You can see from the above equation that the above equation is a linear equation in one variable.
A linear equation is the equation in which the variables are having the degree is equal to 1. As in the above equation, the degree of the variable y is 1 so we can say that the above equation is a linear equation in one variable.
We are going to add the left hand side of the given equation.
$y+1.2y$
Taking y as common in the above expression we get,
$\begin{align}
  & \left( 1+1.2 \right)y \\
 & =2.2y \\
\end{align}$
Now, equating the above expression to 4.4 we get,
$2.2y=4.4$
Dividing 2.2 on both the sides we get,
$y=\dfrac{4.4}{2.2}=2$
From the above solution, we have found the value of $y=2$.
Hence, solving the given equation will give $y=2$.

Note: You might get confused with the form of these two numbers 1.2 and 4.4 given in the equation as 1.2 is written as 1 multiplied by 2 instead of 1 decimal 2 and similarly 4.4 is written as 4 multiplied by 4 instead of 4 decimal 4, no need to confuse with this, these are the decimal number.