So for this, I will be doing the elimination method. Firstly, multiply both sides of the first equation by 2:
Next, add the two equations together to get . From here you can solve for x.
For this equation, just divide both sides by 8 and your first answer will be
Now that we have the value of x, substitute it into either equation to solve for y:
<u>In short, the solution is (2,-5), or A.</u>
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula :
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula :
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
Answer:
x = 9
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 - 8 ( add 1 to both sides )
x = 9