Solve the following pair of linear equations in two variables using a graph: $3x + 6y = 4$ and $2x + 4y = \frac{8}{3}$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(D) Given equations are:
$1) 3x + 6y = 4$
$2) 2x + 4y = \frac{8}{3}$
Multiply equation $(2)$ by $\frac{3}{2}$:
$\frac{3}{2}(2x + 4y) = \frac{3}{2} \times \frac{8}{3}$
$3x + 6y = 4$
Since both equations represent the same line,they are coincident lines.
Therefore,the system has infinitely many solutions. The solution set is $\{(x, y) \mid 3x + 6y = 4; x, y \in R \}$.

Explore More

Similar Questions

The solution set of the pair of equations $2x + 3y = 4$ and $6x + 9y = 17$ is ............

Solve the following pair of linear equations using a graph: $3x + 4y = 6$ and $3x + 4y = 19$.

Difficult
View Solution

The solution of the pair of equations $x+2=0$ and $y-1=0$ is $(x, y) = \dots$

Are the following pair of linear equations consistent? Justify your answer.
$-3x - 4y = 12$
$3x + 4y = 12$

Solve the following pairs of equations by the cross-multiplication method:
$4x + 6y = 11$
$5x - 8y = 6$

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