Respuesta :

xKelvin

Answer:

[tex]\displaystyle y = -\frac{c}{ax+b}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle axy + by + c = 0[/tex]

And we want to solve it for y.

First, isolate all the y-variables. Subtracting c from both sides yields:

[tex]\displaystyle axy + by = -c[/tex]

We can factor:

[tex]\displaystyle y(ax + b) = - c[/tex]

And divide. Hence:

[tex]\displaystyle y = -\frac{c}{ax+b}[/tex]

In conclusion:

[tex]\displaystyle y = -\frac{c}{ax+b}[/tex]

manissaha129

Answer:

[tex]axy + by + c = 0 \\ axy + by = - c \\ y(ax + b) = - c \\ \boxed{y = \frac{ - c}{ax + b} }[/tex]

  • y = -c/(ax+b) is the right answer.

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