Consider the given equations:
(Equation 1)
(Equation 2)
(Equation 3)
Adding equations 1 and 3, we get
So, we get 
(Equation 4)
Multiplying equation 3 by '6', we get
(Equation 5)
Subtracting equation 5 from equation 2, we get
(Equation 6)
Multiplying equation 4 by '21' and adding it to equation 6, we get
So, z = -5
Since, 
So, y=-5
Now,
So, x = -4
Therefore, x = -4, y= -5 and z= -5 are the solutions to the given equations.
Answer:
<em>x = 1 and -2</em>
<em>Sum of the first ten terms = 1,398,100</em>
Step-by-step explanation:
Given the geometric progression 2x+2, 16, 64x...
Since they are in GP, their common ratio is expressed as;
16/2x+2 = 64x/16
16/2(x+1) = 4x
8/x+1 = 4x
Cross multiply
4x(x+1) = 8
4x²+4x = 8
4x²+4x - 8 = 0
divide through by 4
x²+x - 2 = 0
Factorize
x²+2x-x- 2 = 0
x(x+2)-1(x+2) = 0
(x-1)(x+2) = 0
x = 1 and -2
Hence the values of x are 1 and -2
Get the common ratio;
r = 16/2x+2
Since x = 1
r = 16/2(1)+2
r = 16/4
r = 4
Sum of the first n terms is expressed as;
Sn = a(rⁿ-1)/r-1
a = 2x+2
a = 2(1)+2
a = 4
Substitute;
S10 = 4(4^10 - 1)/4 - 1
S10 = 4(1,048,576-1)/3
S10 = 4,194,300/3
S10 = 1,398,100
Hence the sum of the first ten terms is 1,398,100
Answer:
18 = 3 × 6
Step-by-step explanation:
Sam's solution is incorrect. the correct answer is x=3
15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
Hope you got a good grade!!! :)
