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Class 10MathematicsPair of Linear Equations in Two VariablesConditions for solvabilityExpertLevel 58
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For infinitely many solutions of (9x+(\beta+4)y=15) and (27x+18y=45), what is (\beta)?

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Answer and explanation

Correct answer: (\beta=2)

For infinitely many solutions, (\frac{9}{27}=\frac{\beta+4}{18}=\frac{15}{45}) must hold. This gives (\beta=2).

Related tags

Class10Linear-EquationsSolvability

Frequently asked questions

What is the correct answer to this question?

(\beta=2)

Why is this the correct answer?

For infinitely many solutions, (\frac{9}{27}=\frac{\beta+4}{18}=\frac{15}{45}) must hold. This gives (\beta=2).

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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  1. 1If both lines appear exactly at the same place on the graph, how many solutions will there be?
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  5. 5If a₁ = 4, b₁ = 6, c₁ = 10 and a₂ = 2, b₂ = 3, c₂ = 5, how will the lines be related?
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  8. 8If the line \(3x+ay=24\) coincides with the line \(3x+4y=24\), what is the value of \(a\)?
  9. 9If the line \(4x+ay=20\) is coincident with the line \(2x+3y=10\), what is the value of \(a\)?
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