Which of the following is not a linear equation in two variables?

x = 3 y - 1

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y = 2 x + 3

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x^{2} - 5 = 0

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x - y = 0

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Solution

The correct option is D $x^{2} - 5 = 0$
Linear equations in two variables means the overall degree of the equation should be $1$ .

But in $(x^{2} - 5 = 0)$ there is only one degree variable $x$ . Also the degree of equation is $2$ .

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Similar questions

Q. Which of the following is not a linear equation in one variable ? why?

2 x - 1 = \frac{3}{2}

x + 3 y = 5

a = 0

Which of the following options is true for the given statements
S1 : $\sqrt{2}$ x = 3 $\sqrt{y}$ is a linear equation in two variables

S2 : $\sqrt{2}$ x + 3y = $\sqrt{5}$ is a linear equation in two variables

Which of the following pairs of linear equations is inconsistent?
$1. x + 3 y - 5 = 0, 2 x + y = 0$
$2. 2 x + y = 1, 2 y = 2 - 4 x$
$3. 2 x - y = 2, 2 y - 4 x = 2$

Q. Solve the following pair of linear equation:

\frac{5}{2 x} + \frac{2}{3 y} = 7, \frac{3}{x} + \frac{2}{y} = 12, x \neq 0, y \neq 0

Q. Draw the graph of each of the following linear equations in two variables:

(i) x + y = 4

(ii) x − y = 0

(iii) −x + y = 6

(iv) y = 2x

(v) 3x + 5y = 15

(vi)

\frac{x}{2} - \frac{y}{3} = 2

(vii)

\frac{x - 2}{3} = y - 3

(viii) 2y = −x + 1

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Which of the following is not a linear equation in two variables?

The correct option is D x2−5=0Linear equations in two variables means the overall degree of the equation should be 1. But in (x2−5=0) there is only one degree variable x. Also the degree of equation is 2.

The correct option is D $x^{2} - 5 = 0$
Linear equations in two variables means the overall degree of the equation should be $1$ .

But in $(x^{2} - 5 = 0)$ there is only one degree variable $x$ . Also the degree of equation is $2$ .