Answer:
Both system of equations are intersecting
Step-by-step explanation:
The equations are of the form
ax+by+c=0
Two equations have no solution when
[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
i) 4x−5y-13=0
3x+6y-11=0
[tex]\frac{4}{3}\neq \frac{5}{6}\neq \frac{13}{11}[/tex]
So, they are intersecting lines and do have the same solution.
ii) 8x−10y-26=0
x−11y-2=0
[tex]\frac{8}{1}\neq \frac{-10}{-11}\neq \frac{13}{11}[/tex]
So, they are intersecting lines and do have the same solution.
