Y=5-3x
5x-4y=-3
y=5-3x
-4y=-3-5x
----------------
-3y=2-7x
-3(y)=2-7(x)
u can try plugging in any number for y
-3(3)=2-7x
9=2-7x
-2 -2
7=7x
-- --
7 7
1=x
so 3,1
Answer:
It is a 50% increase
Step-by-step explanation:
2.4 million /2 = 1.2 million
2.4m + 1.2m = 3.6m
50% of 2.4 is 1.2
it is a +50% increase to get from 2.4 to 3.6
Answer:
a) False
b) False
Step-by-step explanation:
We are given the following information:
Z is a set of all integers,
is a set of all positive integers and
is a set of all negative integers.
Q is a set of all rational numbers,
is a set of all positive rational numbers and
is a set of all negative rational numbers.
N is a set of all natural numbers.
a) False
We will show this with the help of a counter example.
![Z = 3\\Q = \frac{3}{4}\\\displaystyle\frac{Z}{Q} = \displaystyle\frac{3}{\frac{3}{4}} = \displaystyle\frac{8}{3}](https://tex.z-dn.net/?f=Z%20%3D%203%5C%5CQ%20%3D%20%5Cfrac%7B3%7D%7B4%7D%5C%5C%5Cdisplaystyle%5Cfrac%7BZ%7D%7BQ%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B3%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B8%7D%7B3%7D)
which is a rational number and not an integer.
b) False
We will show this with the help of a counter example.
![Z = 3\\Z^- = -5\\\displaystyle\frac{Z}{Z^-} = \displaystyle\frac{3}{-5} = -\displaystyle\frac{3}{5}](https://tex.z-dn.net/?f=Z%20%3D%203%5C%5CZ%5E-%20%3D%20-5%5C%5C%5Cdisplaystyle%5Cfrac%7BZ%7D%7BZ%5E-%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B3%7D%7B-5%7D%20%3D%20-%5Cdisplaystyle%5Cfrac%7B3%7D%7B5%7D)
which is a rational number and not a natural number.
Step-by-step explanation:
3( x +1) = 5 (x - 2) + 7
3x + 3 = 5x - 10 + 7
5x - 3x = 3 + 10 - 7
2x = 13 - 7
2x = 6
Therefore x = 3
I think that the first part is true but the second is wrong because a number and its opposite will have the same absolute value. For example, the 5 is the absolute value of 5 and -5. This works with all numbers and their opposites. Since the number 0 doesn't have an opposite value, I think that 0, as an absolute value, only represents 0.
Hope this helps :P