Question

if one equation in a system has a slope of 2/3 and the other line has a slope of -2, how many Solutions does the system have

Answer 1

There is only one solution to the system of equations the lines represent.

Explanation:

Now to find the number of solutions to given equation of lines:

Given that slope of one equation is
`m_(1)=(2)/(3)`

and slope of another equation is
`m_(2)=-2`

​ Since the slopes
`m_(1),m_(2)` are different, the lines must intersect.

Therefore the given two lines must intersect at a point.

Therefore there is one solution to the system of equations the lines represent.