Question

Determine which system below will produce infinitely many solutions.

2x + 5y = 24
2x + 5y = 42

3x - 2y = 15
6x + 5y = 11

4x - 3y = 9
-8x + 6y = -18

5x - 3y = 16
-2x + 3y = -7

Answer 1

a1 x+b1y=c1
a2 x+b2y=c2
\[if \frac{ a1 }{a2}=\frac{ b1 }{ b2 }=\frac{ c1 }{ c2 },then infinite solutions.\]
\[if \frac{ a1 }{a2 }=\frac{ b1 }{ b2 }\neq \frac{ c1 }{ c2 },then no solution.\]