What will the graph of (5x+8y=15) and (3x+4y=9) show?
Answer and explanation
Correct answer: Lines intersecting at one point
The ratios of the coefficients of x and y are not equal: 5/3 ≠ 8/4. Therefore, the lines are neither coincident nor parallel; they intersect at one unique point. Solving the equations gives the intersection point (3, 0). Exam tip: If a₁/a₂ ≠ b₁/b₂, the pair of linear equations has a unique solution, so the lines intersect at one point.
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What is the correct answer to this question?
Lines intersecting at one point
Why is this the correct answer?
The ratios of the coefficients of x and y are not equal: 5/3 ≠ 8/4. Therefore, the lines are neither coincident nor parallel; they intersect at one unique point. Solving the equations gives the intersection point (3, 0). Exam tip: If a₁/a₂ ≠ b₁/b₂, the pair of linear equations has a unique solution, so the lines intersect at one point.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Conditions for solvability.
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