............ is not a linear equation in two | vedclass

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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

$x^{2} - 6x + 7 = 0$

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. The degree of the variables must be $1$.In the equation $x^{2} - 6x + 7 = 0$,the highest power (degree) of the variable $x$ is $2$. Therefore,it is a quadratic equation,not a linear equation.The other options,$6x - 5 = y$,$x - 6y = 0$,and $6x + y = 7$,are all linear equations in two variables because the degree of the variables is $1$.

............ is not a linear equation in two variables.

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