Question
Solve the following equations graphically$:\ x=4 , \frac{3 x}{3}-y=5$
✓
Answer
$ x =4$
$\frac{3 x}{3}-y=5$
$x =4 ....(1)$
$\frac{3 x}{3}-y=5 ....(2)$
The graph of equation $(1)$ will be the line $l_1$ which is at a distance of $4$ units from the $y-$axis.
$(4, 0)$
From $(2), x - y = 5$
Corresponding values of $x$ and $y$ can be tabulated as $:$
Plotting points $(4, -1), (0, -5), (5, 0)$ and joining them, we get a line $l_2$ which is the graph of equation $(2)$.
The two lines $l_1$ and $1_2$ intersect at a unique point $(4, -1)$.
Thus$, x = 4$ and $y = 1 -1$ is the unique solution of the given equations.
$\frac{3 x}{3}-y=5$
$x =4 ....(1)$
$\frac{3 x}{3}-y=5 ....(2)$
The graph of equation $(1)$ will be the line $l_1$ which is at a distance of $4$ units from the $y-$axis.
$(4, 0)$
From $(2), x - y = 5$
Corresponding values of $x$ and $y$ can be tabulated as $:$
| $x$ | $4$ | $0$ | $5$ |
| $y$ | $-$ | $-5$ | $0$ |
The two lines $l_1$ and $1_2$ intersect at a unique point $(4, -1)$.
Thus$, x = 4$ and $y = 1 -1$ is the unique solution of the given equations.
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