Which of the following is a linear equation in one variable?
$(i) 0 x + 0 = 0$
$(i i) 4 y^{2} + 5 = 0$
$(i i i) 2 x - 1 = 0$
$(i v) x y + x - 1 = 0$

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Solution

By the definition,
$(i) a x + b = c,$ In this form of the linear equation $‘ a^{'}$ should not be equal to zero. So, $0 x + 0 = 0$ is not a linear equation in one variable.

$(i i)$ Highest power of the variable in the given equation $4 y^{2} + 5 = 0$ is $2$ . So, $4 y^{2} + 5 = 0$ is not a linear equation in one variable.

$(i i i)$ The given equation $2 x - 1 = 0$ resembles the standard form of linear equation in one variable.

$(i v)$ The given equation $x y + x - 1 = 0$ contains two variables. So, $x y + x - 1 = 0$ is not a linear equation in one variable.

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Which of the following is a linear equation in one variable? (i) 0x+0=0 (ii) 4y2+5=0 (iii) 2x−1=0 (iv) xy+x−1=0

Which of the following is a linear equation in one variable?
$(i) 0 x + 0 = 0$
$(i i) 4 y^{2} + 5 = 0$
$(i i i) 2 x - 1 = 0$
$(i v) x y + x - 1 = 0$