Foundation
Mathematics Foundation
Solution of Two Linear Equations
Solution of Linear Equation
Linear Equation in Two Variables
Question

The equations representing the given graph is 
 

3x – 4y = 1; 8y – 6x = 4 

2x + 7y = 11 ; 5x + (35y/2) = 25

3x – 7y = 10 ; 8y – 6x = 4

7x + 2y = 11 ; y – 2x = 3

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution
Verified BY
Verified by Zigyan

The graph shows two lines that are parallel and distinct, meaning they have the same slope but different y-intercepts and thus never intersect. For two lines to be parallel, their slopes must be equal. The correct pair must satisfy this condition.

Let's check the slopes. The general form is Ax + By = C. The slope is -A/B.

For the first option: 3x - 4y = 1 and 8y - 6x = 4 (which is -6x + 8y = 4).
Slope of first line: -3/(-4) = 3/4.
Slope of second line: -(-6)/8 = 6/8 = 3/4.
Slopes are equal, confirming they are parallel.

Final Answer: 3x – 4y = 1; 8y – 6x = 4