Let's solve the system of equations using the substitution method.
From the first equation:
2x + y = 6
y = 6 - 2x
Now, substitute this expression for y in the second equation:
4x + 2(6 - 2x) = 8
4x + 12 - 4x = 8
12 = 8
This last statement is false, which means that there is no solution to this system of equations. The lines represented by these equations are parallel, meaning they will never intersect, and therefore there is no point that satisfies both equations simultaneously.
2x+ y=6
4x+ 2y= 8
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