Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph.
-$$2 x - 3 y = 9$$
A) $x = \frac { 15 } { 2 } , y = \frac { 7 } { 3 }$
B) $x = \frac { 3 } { 2 } , y = \frac { 7 } { 3 }$
C) $x = 5 , y = \frac { 7 } { 3 }$
D) $x = 1 , y = - \frac { 7 } { 2 }$

Question

Quizplus · Accepted Answer

To find the values of $x$ and $y$, we substitute the given points into the equation $2x - 3y = 9$.For the point $(x, 2)$, substitute $y = 2$:$$2x - 3(2) = 9$$$$2x - 6 = 9$$$$2x = 15$$$$x = \frac{15}{2}$$For the point $(8, y)$, substitute $x = 8$:$$2(8) - 3y = 9$$$$16 - 3y = 9$$$$-3y = -7$$$$y = \frac{7}{3}$$Therefore, the correct values are $x = \frac{15}{2}$ and $y = \frac{7}{3}$.

Find the Value of X and the Value of Y 2x−3y=92 x - 3 y = 92x−3y=9

Find the Value of X and the Value of Y $2 x - 3 y = 9$