How do you write $y = 7x$ in standard form?
Answer
612.3k+ views
Hint: This problem deals with solving or actually rewriting the given linear equation which is linear in terms of the variables $x$ and $y$, into a standard form of linear equation. Generally the standard form of a linear equation in two variables is expressed by the equation which is $ax + by + c = 0$, where $a \ne 0$ and $b \ne 0$.
Complete step-by-step solution:
The standard form of the linear equation is given by $ax + by + c = 0$.
The given equation is a linear equation with the variables $x$ and $y$.
The equation which is given to us is $y = 7x$.
Now consider the given equation which is $y = 7x$, as shown below:
$ \Rightarrow y = 7x$
Now transfer the term $y$ to the right hand side of the above equation, as shown below:
$ \Rightarrow 7x - y = 0$
Now comparing the above equation with the standard form of the linear equation which is $ax + by + c = 0$.
On comparison the given linear equation $7x - y = 0$ with the standard form of the linear equation $ax + by + c = 0$, the coefficients of the given linear equation are given by:
$ \Rightarrow a = 7$, $b = - 1$ and $c = 0$
Hence expressing the standard form of equation of the given equation $y = 7x$ is equal to $7x - y = 0$.
The standard form of the equation $y = 7x$ is $7x - y = 0$.
Note: Please note that the above problem is solved by rewriting the given linear equation in two variables into the standard form of linear equation in two variables. This can be done by transferring all the non-zero terms to one side of the equation, and by dividing the equation with the coefficient of $x$ term, in order to make the coefficient of the $x$ term equal to 1.
Complete step-by-step solution:
The standard form of the linear equation is given by $ax + by + c = 0$.
The given equation is a linear equation with the variables $x$ and $y$.
The equation which is given to us is $y = 7x$.
Now consider the given equation which is $y = 7x$, as shown below:
$ \Rightarrow y = 7x$
Now transfer the term $y$ to the right hand side of the above equation, as shown below:
$ \Rightarrow 7x - y = 0$
Now comparing the above equation with the standard form of the linear equation which is $ax + by + c = 0$.
On comparison the given linear equation $7x - y = 0$ with the standard form of the linear equation $ax + by + c = 0$, the coefficients of the given linear equation are given by:
$ \Rightarrow a = 7$, $b = - 1$ and $c = 0$
Hence expressing the standard form of equation of the given equation $y = 7x$ is equal to $7x - y = 0$.
The standard form of the equation $y = 7x$ is $7x - y = 0$.
Note: Please note that the above problem is solved by rewriting the given linear equation in two variables into the standard form of linear equation in two variables. This can be done by transferring all the non-zero terms to one side of the equation, and by dividing the equation with the coefficient of $x$ term, in order to make the coefficient of the $x$ term equal to 1.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
Find the value of the expression given below sin 30circ class 11 maths CBSE

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

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

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

