ANSWER
No Solution
EXPLANATION
Given:
[tex]\begin{gathered} -4x+2y=-12............equ1 \\ -2x+y=-6...............equ2 \end{gathered}[/tex]Solve by substitution
from equation 2:
[tex]\begin{gathered} -2x+y=-6 \\ add\text{ }2x\text{ }to\text{ }both\text{ }sides \\ -2x+y+2x=2x-6 \\ y=2x-6..................equ3 \end{gathered}[/tex]Substitute equation 3 into equation 1
[tex]\begin{gathered} -4x+2y=-12 \\ -4x+2(2x-6)=-12 \\ -4x+4x-12=-12 \\ -12=-12 \\ =0 \end{gathered}[/tex]Hence, the system has no solution.
