Answer:
The value is 12
Step-by-step explanation:
we have
[tex]y=-2x+4[/tex]
Convert to standard form
[tex]2x+y=4[/tex] ----> equation A
Let
a ----> the missing value
[tex]6x+3y=a[/tex] ----> equation B
we know that
If the system of equations A and B has infinitely solutions, then equation A and equation B are identical
Multiply equation A by 3 both sides
[tex]3(2x+y)=3(4)[/tex]
[tex]6x+3y=12[/tex] ----> new equation A
Equate new equation A and equation B
[tex]a=12[/tex]
therefore
The value is 12
