In the following equations, let x=−3 and y=2/3. Determine whether the following equations are true, false, or neither true nor false.
7. xy =−2
8. x+3y=−1
9. x+z=4
10. 9y=−2xx
11. y/x=−2

Respuesta :

Answer:

(7) True

(8) true

(9) Neither true nor false

(10) False

(11) False

Step-by-step explanation:

We have given x = -3 and [tex]y=\frac{2}{3}[/tex]

We have to find that the expression given bellow is true or false

(7) xy= -2

So [tex]-3\times \frac{2}{3}=-2[/tex]

Hence it is true

(8) [tex]x+3y=-1[/tex]

[tex]-3+3\times \frac{2}{3}=-3+2=-1[/tex]

Hence it is true

(9) x+z = 4

We have not given value of z so we can say that it is true or false

So it is neither true nor false

(10) [tex]9y=-2x^2[/tex]

So [tex]9\times \frac{2}{3}=-2\times (-3)^2[/tex]

[tex]6=-18[/tex]

Hence it is not true

(11) [tex]\frac{y}{x}=-2[/tex]

[tex]\frac{y}{x}=\frac{\frac{2}{3}}{-3}=\frac{-2}{9}[/tex]

Hence it is false