Answer: No solution
Step-by-step explanation:
Given
Pair of lines are
[tex]\Rightarrow y=-2x-6\ \text{and}\ y=-2x+35[/tex]
For lines [tex]a_1x+b_1y+c_1=0\ \text{and}\ a_2x+b_2y+c_2=0[/tex] will be parallel when
[tex]\Rightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
Rewrite the given lines
[tex]y+2x+6=0\ \text{and}\ y+2x-35=0[/tex]
[tex]\Rightarrow \dfrac{2}{2}=\dfrac{1}{1}\neq\dfrac{6}{-35}\\\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}\neq\dfrac{6}{-35}[/tex]
Thus, the given lines are parallel. Therefore, there is no solution for the givebn pair of lines.
