A sample of an unknown chemical element naturally loses its mass over time. The relationship between the elapsed time , in days, since the mass of the sample was initially measured, and its mass, M(t)M(t)M(t)M, left parenthesis, t, right parenthesis, in grams, is modeled by the following function:
M(t)=900⋅(827)t
Complete the following sentence about the rate of change of the sample. Round your answer to two decimal places.
The sample loses 13\dfrac{1}{3}31start fraction, 1, divided by, 3, end fraction of its mass every
days.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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answer: d.) the total number of protons and neutrons is 15

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