Answer:

Step-by-step explanation:
The series is an arithmetic series with first term (a1) -9 and common difference (d) 5. Then the general term (an) is ...
an = a1 +d(n-1) = -9 +5(n-1) = -14 +5n
The summation notation indicates the sum of "n" of these terms.
Answer:
x = 5
Step-by-step explanation:
x + 3 = 8
x = 8 - 3
x = 5
Answer:
(-4, 5)
Step-by-step explanation:
The problem is a system of equations where you have two variables and can use the method of eliminate (eliminating one of the variables) to solve. In this case, you will need to multiply one of the fractions by a factor to eliminate a variable. It seems easiest to multiply the first equation by a factor of -5:
-5(x - 3y) = -24 (distribute) -5x + 15y = 120
Add the equations:
-5x + 15y = 120
<u>+5x + 8y = -5</u>
23y = 115 (divide by 23)
y = 5
Solve for 'x': x - 3(5) = -24 or x - 15 = 24 (add 15) x = -4
Ordered pair: (-4, 5)
Huh I’m confused what your asking