Respuesta :

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.