Question
Solve the equation $2x +1 = x - 3$, and represent the solution(s) on the Cartesian plane.
✓
Answer
We know that $x=-4$ can be written as $x+0 . y=-4$
which is a linear equation in the variables $x$ and $y$. This is represented by a line. Now all the values of $y$ are permissible because $0 . y$ is always 0 . However, $x$ must satisfy the equation $x=-4$. Hence, two solutions of the given equation are $x=-4, y=0$ and $x=-4, y=2$.
Note that the graph $A B$ is a line parallel to the $y$-axis and at a distance of 4 units to the left of it (see Fig.)
which is a linear equation in the variables $x$ and $y$. This is represented by a line. Now all the values of $y$ are permissible because $0 . y$ is always 0 . However, $x$ must satisfy the equation $x=-4$. Hence, two solutions of the given equation are $x=-4, y=0$ and $x=-4, y=2$.
Note that the graph $A B$ is a line parallel to the $y$-axis and at a distance of 4 units to the left of it (see Fig.)
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