Caprice adds equations A and B to solve this system of equations. What makes this approach a valid method in general for solving a system of equations? (A) The method will give the correct solution, x = 3 and y = 1. 8(3) + 3(1) = 27 4(3) – 3(1) = 9 (B) As long as addition is used on both sides or subtraction is used on both sides, a true equation will remain true. (C) Because the y-terms cancel: (8x + 3y) + (4x – 3y) = 8x + 4x + 3y – 3y = 12x 9D) Adding a quantity like 8x + 3y to one side of an equation and another quantity like 27 to the other side maintains the equality if the two quantities are equal.

answer: b i think

step-by-step explanation:

i don't see any

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

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step-by-step explanation: could you give me 5 stars