sovle the system of equations
3x-9y=72
2x-6y=-14

Question

anonymous · Answer

mutliply the first equation by 2/3 to get
2x-6y=48
2x-6y=-14
look at the left sides... the slopes of the lines are the same, but (look at the right side of the equations) the y-intercepts are different, ie, the lines are parallel => no solution to this system

anonymous · Answer

x=-93/2 ==> y =-31/2

anonymous · Answer

the first equation in slope intercept form is$$y=\frac{1}{3}x-8$$the second line is$$y=\frac{1}{3}x+\frac{7}{3}$$you can see that the slope are equal but they intercect the y-axis at different locations.

Parallel lines do not intersect and that is the geometric interpretation of solving this kind of system.

anonymous · Answer

that is the point or points of intersection is(are) the solution

anonymous · Answer

here is the graph of the two lines