Question
Find the graphically solution of $x-2 y=0$ and $3 x+4 y=20$
✓
Answer
Here, $x-2 y=0 \quad \quad \ldots \ldots \text {(i)}$
On simplifying equation (i), we get
$x=2 y$
Substitute value of $y$ to get value of $x$
Also, $3 x+4 y=20\quad \quad \ldots \ldots \text {(ii)}$
On simplifying Eqn. (ii), we get
$
x=\frac{20-4 y}{3}
$
Substitute value of $y$ to get value of $x$
Plot the points on a graph.
As the both the lines intersect at $(4,2)$, therefore the solution of $x-2 y=0$ and $3 x+4 y=20$ is $(4,2)$.
On simplifying equation (i), we get
$x=2 y$
Substitute value of $y$ to get value of $x$
| x | 0 | 2 | 4 |
| y | 0 | 1 | 2 |
Also, $3 x+4 y=20\quad \quad \ldots \ldots \text {(ii)}$
On simplifying Eqn. (ii), we get
$
x=\frac{20-4 y}{3}
$
Substitute value of $y$ to get value of $x$
| x | 8 | 4 | 0 |
| y | -1 | 2 | 5 |
Plot the points on a graph.
As the both the lines intersect at $(4,2)$, therefore the solution of $x-2 y=0$ and $3 x+4 y=20$ is $(4,2)$.
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