[tex] 19x + 29y = 17 [/tex]
We need to isolate y, so first, subtract 19x from both sides.
[tex] 19x - 19x + 29y = -19x + 17 [/tex]
[tex] 29y = -19x + 17 [/tex]
Since y is being multiplied by 29, and we want y alone, we now divide both sides by 29.
[tex] \dfrac{29y}{29} = -\dfrac{19}{29}x + \dfrac{17}{29} [/tex]
[tex] y = -\dfrac{19}{29}x + \dfrac{17}{29} [/tex]