Answer:

Step-by-step explanation:
Multiply both sides by 2
2x=3y+6
Move variable to the left-hand side and change its sing
-3y=6-2x
Divide both sides of the equation by -3

Answer:
23 (:
Step-by-step explanation:
Answer:
17822
Step-by-step explanation:
The number that are divisible by 7 between 30 and 500 are as follows :
35, 42,49,.....,497
It will form an AP with first term, a = 35 and common difference, d = 7
Let there are n terms in the AP.
nth term of an AP is given by :

Putting all the values,

Now, the sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Putting all the values,
![S_n=\dfrac{67}{2}[2(35)+(67-1)7]\\\\S_n=17822](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B67%7D%7B2%7D%5B2%2835%29%2B%2867-1%297%5D%5C%5C%5C%5CS_n%3D17822)
Hence, the sum of the numbers that are divisible by 7 between 30 and 500 is 17822.
Answer: The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept.