Solve the equation for y.
-$$6 x + 9 y = 17$$
A) $y = \frac { 2 } { 3 } x - \frac { 17 } { 9 }$
B) $y = 6 x - 17$
C) $y = - \frac { 2 } { 3 } x + \frac { 17 } { 9 }$
D) $y = \frac { 2 } { 3 } x + \frac { 17 } { 9 }$

Question

Quizplus · Accepted Answer

To solve for $y$, we first isolate $y$ on one side of the equation:$$6x + 9y = 17$$Subtract $6x$ from both sides:$$9y = -6x + 17$$Divide by $9$ to solve for $y$:$$y = -\frac{6}{9}x + \frac{17}{9}$$Simplify $-\frac{6}{9}$ to $-\frac{2}{3}$:$$y = -\frac{2}{3}x + \frac{17}{9}$$This matches option C.

Solve the Equation for Y 6x+9y=176 x + 9 y = 176x+9y=17

Solve the Equation for Y $6 x + 9 y = 17$