Linear equation in one variable is

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2 x = y

y^{2} = 3 y + 5

4 x - y = 5

3 t + 5 = 9 t - 7

answer is D.

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Detailed Solution

As per the definition, a Linear equation with one variable is that equation which has, literally, one variable with highest power of 1.
In option 1, the equation is

2 x = y

. Where x and y are variables. As there are two variables, it is not a linear equation in one variable.
In the second option, the equation is

y^{2} = 3 y + 5

. Here there is only one variable but the highest power is 2, it is not a linear equation in one variable.
In the third option, the equation is

4 x - y = 5

. Here there are two variables, x and y, so it is not a linear equation in one variable.
In the fourth option, the equation is

3 t + 5 = 9 t - 7

. Here there is only one variable and the highest power is also 1, it is a linear equation in one variable.
Hence, the correct option is 4.

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