Question

How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36 none one two infinitely many How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36 none one two infinitely many

Answer 1

Explanation:

1

Answer 2

You can solve this system of the equations with graphical method or algebra method.

I solve this system with Gaus algorithm

first we divide second equation with number 3 and get x+10y=12

Than subtract first equation from second and get 5y=6 => y=6/5

now we replace y in the first equation and get x+5*(6/5)=6 =>x+6=6

=> x=0 (x,y)=(0,6/5)

Conclusion is that we have one intersection point between this two graphs.

Good luck!!!