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3 years ago

Solve the System of Equations using Elimination/Combinations. -2x-y=-4 x+2y=5

Mathematics

1 answer:

DerKrebs [107]3 years ago

6 0

Answer:

(1,2)

Step-by-step explanation:

x+2y=5

-2x-y=-4

Multiply the first equation by 2

2(x+2y)=5*2

2x +4y = 10

Add this to the second equation

2x +4y = 10

-2x-y=-4

-----------------

3y = 6

Divide by 3

3y/3 = 6/3

y =2

Now we need to find x

x+2y = 5

Substitute y in

x +2(2) =5

x+4 =5

Subtract 4 from each side

x+4-4=5-4

x =1

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3 years ago

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Serjik [45]

Answer:

$\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

Step-by-step explanation:

Given the expression

$f\left(t\right)=\sqrt{t}\:+3\sqrt{t}$

We know that the domain of a function is the set of inputs or argument values for which the function is real and defined.

We know that we can not have a negative value of 't' inside the radicals because if we put any negative number inside the radical expression, it would make the function undefined.

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Therefore, the function domain is:

$\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

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