your answer would be A.
Y= - 5x + 10
That's the answer I believe
y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution.
The slope-intercept form of a straight line equation is given by, y = mx + c, where m is the slope and c is the y-intercept.
Now, only a system of parallel straight lines has no solution.
And the parallel straight lines have an equal slope and different y-intercept.
Hence, the given equation, y = 5x - 10 has slope equals to 5 and y-intercept - 10.
And the lines given in the options, only the second line i.e. y = 5(x + 2) has the same slope i.e. 5 and different y-intercept i.e. 10 ≠ - 10.
So, y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution. (Answer)