Question
Download Solution PDFFor what value of m will the system of equations 17x + my + 102 = 0 and 23x + 299y + 138 = 0 have infinite number of solutions ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The system of equations 17x + my + 102 = 0 and 23x + 299y + 138 = 0 has infinite number of solutions.
Concept used:
When Ax + By = C and Px + Qy = R form a system of linear equation, then it has infinitely many solutions if,
A/P = B/Q = C/R
Calculation:
Since the given system of linear equation is said to have an infinite number of solutions, so,
According to the concept,
17/23 = m/299 = 102/138
Hence,
17/23 = m/299
⇒ m = (17 × 299) ÷ 23
⇒ m = 221
∴ The value of m is 221.
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