Question

Consider the systems of equations:

y=(4/5)x-3y
y= (4/5)x+1y
Without graphing, determine how many solutions you would expect this system of equations to have.

Answer 1

The system of equations has no solution.

Step-by-step explanation:

The given system of equations is y = (4/5)x - 3 and y = (4/5)x + 1. By comparing the coefficients of x in both equations, we see that they are equal. This means that the slopes of the two lines are the same.

If two lines have the same slope, they are parallel. And parallel lines never intersect. Therefore, this system of equations would have no solution.