If the system of linear equations 2x - 3y = + 5, x + 5y = + 1, where , , R has infinitely many solutions, then the value of |9 + 3 + 5 | is equal to _____ .

JEE Main 2022 Mathematics question

If the system of linear equations , , where , , R has infinitely many solutions, then the value of is equal to .

Answer: 58

For infinitely many solutions the coefficients and constants are proportional: = −3/5 = . So

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Question ID VK-034891