How do you solve the linear equation $-4y+16=4$?
Answer
600.6k+ views
Hint: To solve the given equation first we will rearrange the terms. We will keep constant terms on one side and arrange the variable terms on the other side. Then we will simplify the obtained equation to get the desired answer.
Complete step-by-step solution:
We have been given an equation $-4y+16=4$.
We have to solve the given equation.
To solve the given equation first we will rearrange the variable and constant terms given in the equation.
Now, we will shift the constant terms at the RHS then we will get
$\Rightarrow -4y=4-16$
Now, simplifying the obtained equation we will get
$\Rightarrow -4y=-12$
Now, dividing the above obtained equation by $-4$ we will get
$\Rightarrow \dfrac{-4y}{-4}=\dfrac{-12}{-4}$
Now, simplifying the obtained equation we will get
$\Rightarrow y=3$
Hence on solving the given equation we will get the value of y as 3.
Note: The given equation is a linear equation in one variable as there is only one unknown variable. The possibility of mistake in this type of question is calculation mistake. Be careful while doing calculations and while shifting the terms from LHS to RHS or vice-versa. We can also verify the answer by substituting the obtained value in the given equation.
Substituting the value of y we will get
$\Rightarrow -4\times 3+16=4$
Now, simplifying the above obtained equation we will get
$\begin{align}
& \Rightarrow -12+16=4 \\
& \Rightarrow 4=4 \\
\end{align}$
As we get LHS=RHS, hence the obtained solution is correct.
Complete step-by-step solution:
We have been given an equation $-4y+16=4$.
We have to solve the given equation.
To solve the given equation first we will rearrange the variable and constant terms given in the equation.
Now, we will shift the constant terms at the RHS then we will get
$\Rightarrow -4y=4-16$
Now, simplifying the obtained equation we will get
$\Rightarrow -4y=-12$
Now, dividing the above obtained equation by $-4$ we will get
$\Rightarrow \dfrac{-4y}{-4}=\dfrac{-12}{-4}$
Now, simplifying the obtained equation we will get
$\Rightarrow y=3$
Hence on solving the given equation we will get the value of y as 3.
Note: The given equation is a linear equation in one variable as there is only one unknown variable. The possibility of mistake in this type of question is calculation mistake. Be careful while doing calculations and while shifting the terms from LHS to RHS or vice-versa. We can also verify the answer by substituting the obtained value in the given equation.
Substituting the value of y we will get
$\Rightarrow -4\times 3+16=4$
Now, simplifying the above obtained equation we will get
$\begin{align}
& \Rightarrow -12+16=4 \\
& \Rightarrow 4=4 \\
\end{align}$
As we get LHS=RHS, hence the obtained solution is correct.
Recently Updated Pages
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

Write an article on Global warming in about 200 words

What are the methods of reducing friction. Explain

Write a letter to the Municipal Commissioner to inform class 8 english CBSE


