Im finding the coordinates of the point of intersection of the lines y=3x+1 and x+3y=6.

so far i substituted 1 into 2,

x+3(3x+1)=6

x+9x+3=6

10x^2=3

x=3/10 _ but as i have to then put the x value back into the equation to find y i dont think i have folowed this through correctly , can anyone put me right?

Also i have done;

x^2+2x<3

x+x<1.5

2x<1.5

x<1.5/2 < could this work, or have i also miscalculated? lol

Thnk x