Question

How do you solve $-\dfrac{1}{4}y=16$ ?

Answer 1

Hint: In this question, we have to find the value of y of a linear equation. As we have to solve a linear equation that consists of only a variable, we will apply the simple mathematical operations to get the solution to the problem. Therefore, we start solving this equation by multiplying 4 on both sides of the equation and then we cancel out the same terms in the numerator and the denominator on the left-hand side of the equation. After that, we will multiply (-1) on both sides in the equation and make the necessary calculations that give the value of y, which is our required answer.

Complete step by step solution:
According to the question, we have to find the value of y of a linear equation.
Thus, we will use the basic mathematical rule to get the required solution.
The equation given to us is $-\dfrac{1}{4}y=16$ ---------- (1)
First, we will multiply 4 on both-hand sides of the equation (1), that is
$\Rightarrow -\dfrac{1}{4}y\times 4=16\times 4$
Now, we know that the same terms in the numerator and the denominator cancel out each other with a remainder 0, therefore we cancel the same terms on the left-hand side in the above equation, we get
$\Rightarrow -y=16\times 4$
On further solving, we get
$\Rightarrow -y=64$
Now, we will multiply (-1) on both sides in the above equation, we get
$\Rightarrow -y\times (-1)=64\times (-1)$
On further simplifying the above equation, we get
$\Rightarrow y=-64$ which is our required answer.

Therefore, for the equation $-\dfrac{1}{4}y=16$ , the value of x is equal to -64.

Note: Make all the necessary calculations properly to avoid confusion and mathematical errors. Do write all the steps one-by-one to avoid any mistakes. One of the alternative methods to solve this problem is first multiply (-1) on both sides of the equation and then multiply 4, to get the required solution for the problem.