Which of the following is a linear equation i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) linear equation in two variables is an equation of the form $ax + by + c = 0$,where $a$,$b$,and $c$ are real numbers and $a$ and $b$ are not both

Vedclass · Accepted Answer

$x+3=y$

Vedclass · Answer

(D) linear equation in two variables is an equation of the form $ax + by + c = 0$,where $a$,$b$,and $c$ are real numbers and $a$ and $b$ are not both zero.In this form,the variables $x$ and $y$ must have an exponent of $1$.Checking the options:$A$: $x^{2}+x-3=0$ is a quadratic equation in one variable.$B$: $x^{2}+y=0$ is not linear because the variable $x$ has an exponent of $2$.$C$: $x-3=y^{2}$ is not linear because the variable $y$ has an exponent of $2$.$D$: $x+3=y$ can be rewritten as $x - y + 3 = 0$,which fits the standard form $ax + by + c = 0$ with $a=1, b=-1, c=3$.Therefore,$x+3=y$ is a linear equation in two variables.

Which of the following is a linear equation in two variables?

Similar Questions

The solution set of the pair of equations $2x + 3y = 4$ and $6x + 9y = 17$ is ............

Solve the following pair of linear equations: $x+y=5xy$ and $3x+2y=13xy$.

The intersection point in the graph of a pair of equations $x=0$ and $y=0$ is.........

The sum of two numbers is $8$. If the smaller number is $y$,then the larger number $x = \ldots \ldots \ldots \ldots$

Draw the graphs of the equations $2x + 3y = 8$ and $x + 2y = 5$ on the same graph paper. Find the solution of the system from the graph.

Vedclass Test Series

Exam Paper Generator

Online Exam Module