
How do you solve for y in \[x + 7y = 0\]?
Answer
443.7k+ views
Hint:Here in this given equation is a linear equation with two variables. Here we have to solve for one variable. To solve this equation for y by using arithmetic operation we can shift the x variable to the right hand side of the equation then solve the equation for y and on further simplification we get the required solution for the above equation.
Complete step by step solution:
Given \[x + 7y = 0\].
Now we need to transpose the variable ‘x’ to the right hand side of the equation. So subtract ‘x’ on both sides of the equation.
\[x - x + 7y = 0 - x\]
\[7y = - x\]
Now divide the whole equation by 7 we have,
\[\dfrac{{7y}}{7} = - \dfrac{x}{7}\]
\[ \Rightarrow y = - \dfrac{x}{7}\]
This is the required solution.
If we observe the obtained solution we notice that it is in the form of the equation slope intercept form. That is \[y = mx + c\], where ‘m’ is slope and ‘c’ is y-intercept.
If we rearrange the obtained solution we have
\[ \Rightarrow y = - \dfrac{1}{7}x + 0\], where slope is \[ - \dfrac{1}{7}\] and the intercept is \[0\].
If the intercept is zero means that if we draw the graph of the given equation it passes through origin.
Note: By putting different values of x and then solving the equation, we can find the values of y. The algebraic equation or an expression is a combination of variables and constants, it also contains the coefficient. Generally we denote the variables with the alphabets. Here both ‘x’ and ‘y’ are variables. The numerals are known as constants and here \[0\] is constant or no constant here. The numeral of a variable is known as co-efficient and here \[ - \dfrac{1}{7}\] is coefficient of ‘x’.
Complete step by step solution:
Given \[x + 7y = 0\].
Now we need to transpose the variable ‘x’ to the right hand side of the equation. So subtract ‘x’ on both sides of the equation.
\[x - x + 7y = 0 - x\]
\[7y = - x\]
Now divide the whole equation by 7 we have,
\[\dfrac{{7y}}{7} = - \dfrac{x}{7}\]
\[ \Rightarrow y = - \dfrac{x}{7}\]
This is the required solution.
If we observe the obtained solution we notice that it is in the form of the equation slope intercept form. That is \[y = mx + c\], where ‘m’ is slope and ‘c’ is y-intercept.
If we rearrange the obtained solution we have
\[ \Rightarrow y = - \dfrac{1}{7}x + 0\], where slope is \[ - \dfrac{1}{7}\] and the intercept is \[0\].
If the intercept is zero means that if we draw the graph of the given equation it passes through origin.
Note: By putting different values of x and then solving the equation, we can find the values of y. The algebraic equation or an expression is a combination of variables and constants, it also contains the coefficient. Generally we denote the variables with the alphabets. Here both ‘x’ and ‘y’ are variables. The numerals are known as constants and here \[0\] is constant or no constant here. The numeral of a variable is known as co-efficient and here \[ - \dfrac{1}{7}\] is coefficient of ‘x’.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Trending doubts
10 examples of friction in our daily life

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

State and prove Bernoullis theorem class 11 physics CBSE

What organs are located on the left side of your body class 11 biology CBSE

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
