Question

For the graph shown, select the statment that describes the solution of the system of equations. 2y -3x=9, 4y+3x=12. no solution, one point, infinate, or not enough

Answer 1

If you add the two equations you'll find that

2y-3x = 9
4y+3x = 12
---------------
6y+0x = 21

Which simplifies to 6y = 21. That equation (6y = 21) has only one solution for y, which leads to only one solution for x. Overall, there is only one solution for the ordered pair (x,y)

One solution means there is one point of intersection between the two lines