Solve the following pair of linear equations using a graph: $3x + 6y = 3900, x + 3y = 1300$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) For the equation $3x + 6y = 3900$:
Dividing by $3$,we get $x + 2y = 1300$,which implies $y = \frac{1300 - x}{2}$.
If $x = 0$,$y = 650$. If $x = 1300$,$y = 0$.
$x$$0$$1300$
$y$$650$$0$

Plot the points $(0, 650)$ and $(1300, 0)$ and join them to draw the line.
For the equation $x + 3y = 1300$:
This implies $y = \frac{1300 - x}{3}$.
If $x = 1300$,$y = 0$. If $x = 100$,$y = 400$.
$x$$1300$$100$
$y$$0$$400$

Plot the points $(1300, 0)$ and $(100, 400)$ and join them to draw the line.
The intersection point of these two lines is $(1300, 0)$,which satisfies both equations.
Thus,the solution is $x = 1300, y = 0$.

Explore More

Similar Questions

Graphically,find whether the following pair of equations has no solution,unique solution or infinitely many solutions.
$5x - 8y + 1 = 0$ $...(1)$
$3x - \frac{24}{5}y + \frac{3}{5} = 6$ $...(2)$

Check graphically whether the pair of equations
$x+3y=6$ $...(1)$
and $2x-3y=12$ $...(2)$
is consistent. If so,solve them graphically.

Difficult
View Solution

$A$ line $x-2y=2$ intersects the $Y$-axis at..........

The pair of equations $2x + 3y = 5$ and $2x + 3y = 8$ is ..........

Draw the graphs of the equations $2x + 3y = 8$ and $x + 2y = 5$ on the same graph paper. Find the solution of the system from the graph.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo