2x + y = 20
6x – 5 y= 12

hi

Step-by-step explanation:

We see a set of linear equations. Hence, a system of linear equations. So we solve them by process of elimination, multiplying the top equation by 5 to eliminate first such that  

(2x+y=20)*5

6x-5y=12

10x+5y=100

6x-5y=12  

16x = 112 After dividing 16 we get  

x = 7

Now we plug x  = 7 back into the original first equation to obtain the y value such that  

2(7) + y = 20  

12 + y = 20

-12         -12

y = 8  

I hope this helped!

the solution is h=10 because you add 9 to each side of the equation.

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for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for