izzyfelix123
izzyfelix123 izzyfelix123
  • 23-05-2019
  • Mathematics
contestada

4. How many solutions does the system of equations have?
y= 5x + 7 and y= 5x + 8

A) one
B)two
C)none
D)infinitely many

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-05-2019

Answer:

C) none

Step-by-step explanation:

The two lines are parallel (have the same slope (x-coefficient), but different y-intercepts). They have no point in common, hence there is no solution to the system of equations.

___

Another way to think about this: subtract the first equation from the second. You get ...

0 = 1

There are no values of the variables that will make this be true, hence no solutions.

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