Solve the system using elimination.

3x – 4y = 9
–3x + 2y = 9

(–3, –6)

(–9, –9)

(–27, –9)

(3, 9)

(- 9, - 9)

Step-by-step explanation:

Given the 2 equations

3x - 4y = 9 → (1)

- 3x + 2y = 9 → (2)

Adding (1) and (2) will eliminate the term in x

(1) + (2) term by term

(3x - 3x) + (- 4y + 2y) = (9 + 9)

0 - 2y = 18

- 2y = 18 ( divide both sides by - 2 )

y = - 9

Substitute y = - 9 into (1) or (2) and evaluate for x

(1) → 3x + 36 = 9 ( subtract 36 from both sides )

3x = - 27 ( divide both sides by 3 )

x = - 9

Solution is (- 9, - 9)

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

, and

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