Respuesta :

fieryanswererft

Answer:

[tex]\sf m = \dfrac{2}{5}[/tex]

Explanation:

A system of equations will have no solution when:

  • 1st equation = y = ax + b
  • 2nd equation = y = ax + c

Meaning they shall have the same slope but different constant.

Here given:

[tex]\sf y = \dfrac{2}{5} x - 7[/tex]       Here slope: 2/5  and constant: -7

Another equation:

[tex]\sf y = \dfrac{2}{5} x + 3[/tex]       Has the same slope but different constant.

Answer:

m = 2/5

Step-by-step explanation:

Understanding :

A system of equations have no solutions when they do not cross/intersect each other at any point.

This is only possible when the slopes of the lines are equal.

Solution :

Hence,

  • m = 2/5

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