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.