Question

2x+3y=-6
3x-4y=-12

How many solutions does this system have?

Answer 1

Answer:

According to the equations ;

a1 = 2 , b1= 3 and c1 = -6

a2 = 3 , b2 = -4 and c2 = -12

$\frac{a1}{a2} = \frac{2}{3} \\ \\ \frac{b1}{b2} = \frac{3}{ - 4}$

here we get to know that

$\frac{a1}{a2} is \: not \: equl \: to \: \frac{b1}{b2}$

Therefore ;

They are intersecting lines and get only one solution in common .