Both the lines are parallel to each other, the correct option is A.
A series of an equation which have a common solution is called System of Equation.
The equations are
14x +2y = 10
y+7x = -5
Both equations can be written in a straight line equation form
y = mx+c
2y = -14x +10
y = -7x +5
y= -7x -5
The slope, m of both the line is equal and so they are parallel to each other, as the intercept is different, they are not coincident.
Therefore, the correct option is A.
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