Solve each system of equations

7x - y = 12
7x + 3y = -8

Y= -5 and X= 1

Step-by-step explanation:

Linear equations, huh? Okay, well we'll subtract for this problem. 7x minus 7x is nothing, so x is all cancelled out. Negative y minus 3y is -4y. And 12 minus -8 is 20, since the two negatives become a positive. So we have -4y = 20, so y equals -5. Great, so now we plug in y in one of the equations. I'll chose the top one. Our new equation is: 7x+5=12. Subtract both sides by 5, and we have 7x=7. Well, this means that x equals 1, therefore giving y equals -5, and x equals 1.

Aight, let's check. Plug in both variables for both equations. We get 7+5=12, and 7-15= -8

answer: 800

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week