Given:
The system of equations is
[tex]y=-6x+10[/tex]
[tex]y=-6x+3[/tex]
To find:
The solution of given system of equations.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
For [tex]y=-6x+10[/tex], slope is -6 and y-intercept is 10.
For [tex]y=-6x+3[/tex], slope is -6 and y-intercept is 3.
Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.
Therefore, the given system of equation has no solution.