The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.
Answer:
x = 9
Step-by-step explanation:
Simplifying
6x + -24 = 2x + 12
Reorder the terms:
-24 + 6x = 2x + 12
Reorder the terms:
-24 + 6x = 12 + 2x
Solving
-24 + 6x = 12 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-24 + 6x + -2x = 12 + 2x + -2x
Combine like terms: 6x + -2x = 4x
-24 + 4x = 12 + 2x + -2x
Combine like terms: 2x + -2x = 0
-24 + 4x = 12 + 0
-24 + 4x = 12
Add '24' to each side of the equation.
-24 + 24 + 4x = 12 + 24
Combine like terms: -24 + 24 = 0
0 + 4x = 12 + 24
4x = 12 + 24
Combine like terms: 12 + 24 = 36
4x = 36
Divide each side by '4'.
x = 9
Simplifying
x = 9
X² = 1/4 ⇒√⇒ x₁ = 1/2, x₂ = -1/2
Here is the work:
(13x - 5x) + 12 - 2y = 6
(8x) + 12 - 2y = 6
-2y = -8x - 12 + 6
-2y = -8x - 6
y = 4x + 3
