If (A(x)=24+7x) and (B(x)=48+4x), when will both be equal?
Answer and explanation
Correct answer: \(x=8\)
For the two expressions to be equal, set \(24+7x=48+4x\). Subtracting \(4x\) from both sides gives \(24+3x=48\), so \(3x=24\) and \(x=8\). Therefore, \(x=8\) is correct. For example, at \(x=6\), the two values are not equal. Exam tip: equate the expressions first, then collect like terms on the same side.
Frequently asked questions
What is the correct answer to this question?
\(x=8\)
Why is this the correct answer?
For the two expressions to be equal, set \(24+7x=48+4x\). Subtracting \(4x\) from both sides gives \(24+3x=48\), so \(3x=24\) and \(x=8\). Therefore, \(x=8\) is correct. For example, at \(x=6\), the two values are not equal. Exam tip: equate the expressions first, then collect like terms on the same side.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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