Question

For 2x+4y=10 and 2x+4y=−10, there is/are 1. 1 solution, 2. 2 solutions, 3. infinitely many solutions, 4. no solutions?

Answer 1

HERE WE have

a1=2, b1=4, c1=10

a2=2, b2=4, c2=-10

NOW

$\frac{a1}{a2} = \frac{b1}{b2} which \\ \: is \: not \: equal \: to \: \frac{c1}{c2}$

therefore it has no solution