Answer:
The solution of the given equations is (-3,2)
Step-by-step explanation:
<u>Step:1</u>
The Given equations are 2 x+3 y=0 .......(1)
x+2 y-1 =0.........(2)
<u>Step 2:-</u>
Solving<u> </u>both equations by using substitution method
multiply equation (2) with number '2' ,
2 x+4 y-2=0.......(3)
subtracting the equations (1) and (3) and cancelled 'x' terms
we get 
<u>Step 3:</u>-
substitute y= 2 in equation (1) we get
<u>Final answer</u>:-
The solution of the given equations is (-3,2)
4x + 2y = 24
2y = -4x + 24
y = (-4/2)x + 24/2
y = -2x + 12 <===
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Answer:
The correct answer is 2030.
Step-by-step explanation:
To start we must analyze the information we have.
We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:
(8000 . 0,5) : 100 = 40
Having this information we could do a cross multiplication:
1 year ------- 40 inhabitants
x years ------- 81200
81200 = 40.x
x = 81200 : 40
x = 2030
In this way we can verify that the correct answer is 2030.
Answer: Here's your answer mate,
2045.973
