Respuesta :

2x+3y=6

- subtract 2x from both sides

3y = -2x + 6

- divide each term by 3

[tex]\frac{3y}{3} = -\frac{2x}{3} + \frac{6}{3}[/tex]

- simplify

[tex]\frac{6}{3} = 2[/tex]

[tex]y= -\frac{2x}{3} + 2[/tex]

- write in slope-intercept form

[tex]y= -\frac{2}3} x+6[/tex]

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