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