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

Nov 7, 2016

None

#### Explanation:

$y = 5 x + 6$ gradient 5 and passes through the point (0,6)
$y - 5 x = 7$ can be rearranged to $y = 5 x + 7$
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.