Answer:
[tex]y = - \frac{13}{9} + \frac{4}{9} x[/tex]
Step-by-step explanation:
[tex]4x - 9y = 13[/tex]
[tex]4x - 9y - 4x = 13 - 4x[/tex]
[tex] - 9y = 13 - 4x[/tex]
[tex]y = 9y \div (9) = (13 - 4x) \div ( - 9)[/tex]
[tex]y = (13 - 4x) \div( - 9)[/tex]
[tex]y = 13 \div ( - 9) - 4x \div ( - 9)[/tex]
[tex]y = - 13 \div 9 - 4x \div ( - 9)[/tex]
[tex]y = - \frac{13}{9} - 4x \div ( - 9)[/tex]
[tex]y = - \frac{13}{9} + 4x \div 9[/tex]
[tex]\boxed{\green{y = - \frac{13}{9} + \frac{4}{9} x, x E R}}[/tex]
