-x+5y=8 3x+7y=-3 find the equation

The solution to the system of equations be:

Step-by-step explanation:

Given the system of equation

Multiply -x+5y=8 by 3:   -3x+15y=24

Add the equations

solving 22y=21 for y

Divide both sides by 22

Simplify

For -3x+15y=24  plug in y = 21/22

Subtract 15 · 21/22 from both sides

Divide both sides by -3

The solution to the system of equations be:

(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