Identifying Linear Equations in Two Variables

Q. Is the equation $2x+3y=5$ in two variables linear or not?

1. Yes, it is.
2. No, it isn't.
3. Can not say
4. None of the above

Q. Identify which of the following is not a linear equation in two variable?

1. $2^{2}x+7=y^2$
2. $x+3y=z$
3. $\frac{7y}{x}+3=\frac{1}{x}$
4. $x^3-y^3=3^3$

Q. Which of the following equations represent linear equations in two variables?

1. $y=2$
2. $2x^2-5y=1$
3. $x-y=1$
4. $xy=5$

Q. When both $a$ and $b$ can have any real value other than $0$, the equation $ax+by=c$ is linear in two variables.

1. True
2. False

Q. For the given linear equation $x-2y=1$, match the different $x$ values with their corresponding $y$ values.

1. $-1$
2. $0$
3. $\frac{1}{2}$
4. $-\frac{3}{2}$

Q. Which among the following are the possible ordered pair which can satisfy the given linear equation in two variable $5x+2y=3$?

1. $(1,1)$
2. $(-1,4)$
3. $(5,-11)$
4. $(-3,9)$

Q. Check wheather the equation $\frac{x}{7y}+3=1$ is linear or not. If yes find the value of $y$ when $x=2$.

1. Yes, $y=\frac{-1}{7}$
2. No, it is not a linear equation
3. Yes, $y=\frac{1}{7}$

Q. Which of the following substitution can convert given equations into linear equations with two variables?
$\frac{(x+y{)}^2}{x^{2}y+x{y}^2}=2;\frac{x^2-y^2}{x^{2}y+x{y}^2}=6$

1. $\frac{1}{x}=u$
2. $\frac{1}{y}=v$
3. $\frac{1}{xy}=u$
4. $\frac{x}{y}=u$

Q. Which of the following equations are linear equation in two variables?

1. $y=x^2+3x$
2. $7y=3x-10$
3. $\frac{x}{y}=\frac{5}{3}$
4. $\frac{5x+6x^2}{x}=y$

Q. $x+6y^2=8$ represents the equation of a line in two variables.

1. Yes
2. No