Mix Examples - Linear Equations in Two Variables Questions in English

(N/A) linear equation in two variables is represented in the form $ax + by + c = 0$.
Given the equation $5x = -10$,we can rewrite it as $5x + 10 = 0$.
To express this in two variables ($x$ and $y$),we include the $y$ term with a coefficient of $0$:
$5x + 0y + 10 = 0$.

(A) linear equation in two variables is expressed in the form $ax + by + c = 0$,where $a$,$b$,and $c$ are real numbers and $a$ and $b$ are not both zero.
Given the equation $\pi x = 3.14$,we can rewrite it by bringing all terms to one side:
$\pi x - 3.14 = 0$.
To express this in the form $ax + by + c = 0$,we include the $y$ term with a coefficient of $0$:
$\pi x + 0y - 3.14 = 0$.

(N/A) linear equation in two variables is represented in the form $ax + by + c = 0$.
Given the equation $4y = 24$,we can rewrite it as $0x + 4y - 24 = 0$.

(N/A) linear equation in two variables is represented in the form $ax + by + c = 0$.
Given the equation $3y = -11$,we can rewrite it as $0x + 3y + 11 = 0$.

(A) Let the price of $1$ sweetlime be $x$ and the price of $1$ orange be $y$ (in rupees).
According to the given statement,the total cost of $3$ sweetlimes and $6$ oranges is ₹ $210$.
Therefore,the linear equation in two variables is $3x + 6y = 210$.

(N/A) Let the price of a bat be $x$ and the price of a ball be $y$.
According to the problem,the price of a bat is five times the price of a ball.
Therefore,the linear equation in two variables is $x = 5y$ or $x - 5y = 0$.