Aset of equations is given below: equation c: y = 5x + 10 equation d: y = 5x + 2 which of the following best describes the solution to the given set of equations?

one solution no solution two solutions infinitely many solutions

The system of equations
  


you can easily see that they are contrary to the equation . We not solve them . However prove it.

by substitution .
We substitute the value of y from the first equation to the second equation

y = 5x + 10
y = 5x + 2

y = 5x + 10
5x + 10 = 5x  + 2

y = 5x + 10
5x - 5x = 2 - 10

y = 5x + 10
0  ≠ -8

or by opposing coefficients
y = 5x + 10  [* (-1)
y = 5x + 2

-y = -5x - 10
y = 5x + 2
----------------- sum
0 ≠ -8

Answer.  No solution