Q1.Standard FormEasy · 1m
Write 3x + 5 = 2y in the standard form ax + by + c = 0.
Answer: 3x − 2y + 5 = 0.
Class 9 · Maths · Important Questions
Linear Equations in Two Variables — Important Questions
Q2.SolutionsEasy · 2m
Find any two solutions of the equation x + y = 7.
Answer: For x = 0, y = 7 ⇒ (0, 7); for x = 3, y = 4 ⇒ (3, 4).
Q3.VerificationMedium · 2m
Check whether (2, 1) is a solution of 2x + 3y = 7.
Answer: 2(2) + 3(1) = 4 + 3 = 7, so yes, (2, 1) is a solution.
Q4.GraphMedium · 2m
What does the graph of a linear equation in two variables always look like, and how many solutions does it have?
Answer: It is always a straight line, and the equation has infinitely many solutions.
Q5.Finding a ConstantMedium · 3m
If (1, 2) is a solution of the equation 2x + ky = 8, find k.
Answer: 2(1) + k(2) = 8 ⇒ 2k = 6 ⇒ k = 3.
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