Respuesta :
Answer:
So, the family of equations is:
y = 8x + k
where k is any real number but not equal to 7
Step-by-step explanation:
A system of linear equations can have no solution if the lines are parallel to each other. Looking at the given equation, it has a slope of 8. Any different equation having the same slope will belong to the system of equation without solution.
The other equation to make a system of equations that has no solution is y=-8x+7. The correct option is C.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
A system of linear equations can have no solution if the lines are parallel to each other. Looking at the given equation, it has a slope of 8. Any different equation having the same slope will belong to the system of equation without solution.
For the equation y = 8x + 7 has no solution the second equation will be y=-8x+7.
Therefore, the correct option is C.
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