Find our given information
y = x + 6 -- equation 1
2x + 3y = 30 -- equation 2
plug equation 1 into equation 2
[tex]2x + 3(x+6) = 30\\2x + 3x + 18 = 30\\5x +18 =30\\x = 12/5 -- equation 3[/tex]
plug equation 3 into equation 1
[tex]y = (12/5) + 6 = 42/5[/tex]
The intersection is (12/5, 42/5)
Hope that helps!
