y – 5x = –6
y – 5x = –4
(1 point)
one
two
infinitely many
none
none
To determine the number of solutions for the system of equations y - 5x = -6 and y - 5x = -4, we need to compare the two equations.
By subtracting the second equation from the first equation, we get:
(y - 5x) - (y - 5x) = (-6) - (-4)
This simplifies to:
0 = -6 + 4
0 = -2
Since 0 is not equal to -2, we can conclude that there is no solution.
Therefore, the answer is: none.