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.

To know more about the system of equations follow

https://brainly.com/question/14323743

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