Which of the following is a linear equation i | vedclass

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(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

$x+3=y$

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(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?

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