Check graphically whether the pair of linear equations 2x + 3y = 12 ; 5x - 3y = 9 is consistent. If so, solve it…

CBSE Class 10 Maths PYQ · Linear Equations · Graphical solution of equations · 5 Marks · July 2025 · Standard

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755 Marks · July 2025 · Standard

Check graphically whether the pair of linear equations $2x + 3y = 12$; $5x - 3y = 9$ is consistent. If so, solve it graphically.

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Correct graph of $2x + 3y = 12$
Correct graph of $5x - 3y = 9$
As lines are intersecting, therefore given system of linear equations is consistent.
Solution is $x = 3, y = 2$