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4. Linear Equations in Two Variables
easy
How many solution(s) of the equation $2 x+1=x-3$ are there on the :
$(i)$ Number line
$(ii)$ Cartesian plane
Option A
Option B
Option C
Option D
Solution
$(i)$ The number of solution(s) of the equation $2 x +1= x -3$ which are on the number line is one.
$2 x+1=x-3 \Rightarrow 2 x-x=-3-1 \Rightarrow x=-4$
$\therefore x=-4$ is the solution of the given equation.
$(ii)$ The number of solution(s) of the equation $2 x +1= x -3$ which are on the Cartesian plane are infinitely many solutions.
Standard 9
Mathematics