For what value of m will the system of equations 17x + my + 102 = 0 and 23x + 299y + 138 = 0 have infinite number of solutions?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 221
Given that
The equations 17x + my + 102 = 0 and
23x + 299y + 138 = 0
As we know for equation
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0
Infinite no. of solution
a1/a2 = b1/b2 = c1/c2
Hence, 17/23 = m/299
m = 17 × 13 = 221