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3 years ago

What is the solution to the system of equations x+y=10 and x+2y=4 using the linear combination method?

Mathematics

1 answer:

Elis [28]3 years ago

3 0

Answer:

The solution:

X = 16 and Y = -6

Step-by-step explanation:

The equations to be solved are:

x+y = 10 ------- equation 1

x+2y = 4 ----------- equation 2

we can multiply equation 1 by -1 to make the value of x and y negative.

This will give us

-x- y = - 10 ------- equation 3

x+2y = 4 ----------- equation 2

We will now add equations 3 and 2 together so that x will cancel itself out.

this will give us

y = -10 +4 = -6

hence, we have the value of y as -6.

To get the value of x, we can put this value of y into any of the equations above. (I will use equation 1)

x - 6 = 10

from this, we have that x = 4

Therefore, we have our answer as

X = 16 and Y = -6

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Answer:

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Step-by-step explanation:

The graph of the absolute value parent function f(x) = |x| is shown in the attached diagram.

We can clearly see that from -∞ to 0, the function is decreasing and from 0 to +∞, it is increasing. This is the basic, parent absolute value function.

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3 years ago

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxi

Semenov [28]

Answer:

Option B - $=8.4672\times 10^{13}$

Step-by-step explanation:

Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles.Suppose a star is 14.4 light years from earth.

To find : In scientific notation, how many miles away a star is from earth?

Solution :

One light-year is the distance that light can travel in one year is = 5,880,000,000,000 miles.

In scientific notation, $5.88\times 10^{12}$ miles.

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Therefore, Option B is correct.

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