To find the value of [tex]\( Q \)[/tex] in the given system of equations, we need to analyze the equations provided:
1. [tex]\( x - 3y = 4 \)[/tex]
2. [tex]\( 2x - 6y = Q \)[/tex]
Notice that the second equation, [tex]\( 2x - 6y = Q \)[/tex], appears to be a multiple of the first equation, [tex]\( x - 3y = 4 \)[/tex]. Specifically, if we multiply the first equation by 2, we would get:
[tex]\[ 2(x - 3y) = 2 \cdot 4 \][/tex]
Simplifying the left side of the equation:
[tex]\[ 2x - 6y = 8 \][/tex]
This equation matches the form of the second equation given in our system. Therefore, we can deduce that [tex]\( Q = 8 \)[/tex].
So, the value of [tex]\( Q \)[/tex] so that the solution to the system remains consistent with [tex]\( x - 3y = 4 \)[/tex] is [tex]\( 8 \)[/tex]:
[tex]\[ Q = 8 \][/tex]
