How many solutions does the system of equations #y=5x+6# and #y-5x=7# have?

1 Answer
Nov 7, 2016

None

Explanation:

#y=5x +6# gradient 5 and passes through the point (0,6)
#y-5x=7# can be rearranged to #y=5x+7#
So this line has a gradient of 5 and passes through (0,7)
The two lines are parallel.
There is no set of values (x,y) which will satisfy both equations.