Question

deterdetermine the value of a if the system of a linear equations 3x+3y-4=0 and ax-y-3=0 will represent intersecting lines​

Answer 1

Answer:

Intersecting lines means unique solution,apply the condition of coefficient for unique solution

$\sf \boxed{\begin{gathered} \frac{a1}{a2} \: \: \: \: \: is \: not \: equal \: to \: \frac{b1}{b2} \\ \\ \frac{3}{a} \: \: is \: not \: equal \: to \: \frac{2}{ - 1} \end{gathered}}$

so,on cross Multiplication we get that,

2a is not equal to -3

a is not equal to -3/2.

that is a can attain any value except -3/2