Question

Identify which of the following is/are a linear equation(s) in two variables.

• A. $x^2=5$
• B. $8x=7y$
• C. $x^{2}y-1=0$
• D. $\frac{x}{y}-2=0$

Answer 1

Answer: (B), (D)

The correct options are
B $8x=7y$
D $\frac{x}{y}-2=0$

The power of each of the variables i.e. $x$ and $y$ is $1$ and the degree of the equation $8x-7y=0$ is also $1$.

Hence the given equation is a linear equation in two variables.

Similarly, the power of each of the variables i.e. $x$ and $y$ is $1$ and the degree of the equation $\frac{x}{y}-2=0$ is also $1$.

Hence, the given equation is also a linear equation in two variables.