Respuesta :
The system of the equation has no solution because the lines are parallel which means the line never intersect with each other option (A) none is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations:
3x + y =18 ...I
3x + y = 16 ...II
In comparing with the standard form of the system of equations:
a₁x + b₁y = c₁
a₂x + b₂y = c₂
a₁ = 3
b₁ = 1
c₁ = -18
a₂ = 3
b₂ = 1
c₂ = 16
a₁/a₂ = b₁/b₂ = c₁/c₂
3/3 = 1/1 ≠ -18/16
The lines are parallel which means the line never intersect at each other.
Thus, the system of equation has no solution because the lines are parallel which means the line never intersect with each other option (A) none is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
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