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aev [14]
2 years ago
6

Solve the system with elimination. {2x-y=2, -5x+4y=-2

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

{ 4(2x-y)=2*4

-5x+4y=-2

Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

8x-5x=8-2

Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

x=2

Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

-5+2y=-1

Rearrange unknown terms to the left side of the equation

2y=-1+5

Calculate the sum or difference

2y=4

Divide both sides of the equation by the coefficient of the variable

y=4/2

y=2

Hope this helps!!

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Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$45 thousand less than twice that of an
Lera25 [3.4K]

Answer:

<h2>$58500</h2>

Step-by-step explanation:

 let the degree holder earn  x

 then a masters degree holder earns= (2x-45,000)

the comnined amount of the two degree holders=   (2x-45,000)+x

2x-45000+x=117000

3x=117000+45000

3x=162000

x=162000/3

x=$54000

so bachelor'sdegree hold earns= $54000

a masters degree holder earns= (2(54000)-45,000)

a masters degree holder earns= (108000-45,000)

a masters degree holder earns=$63000

the average= (54000+63000)/2

the average= (117000)/2

the average=$58500

6 0
2 years ago
Analyze the scatterplot below, what prediction can you make about the group of students used in the study from the graph below?
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Answer:

i do not understand

Step-by-step explanation:

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2 years ago
I'm giving 50 POINTS pls answer ASAP
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B

Step-by-step explanation:

7 0
3 years ago
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Find the unit rate for 18 oz box
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Answer:

all you need to do is divide the 18oz by the price that you have

Step-by-step explanation:


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3 years ago
Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a
Amanda [17]

The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are \mathbf{10\sqrt{10 },10\sqrt{10 }}

The area is given as:

\mathbf{A = 1000}

Let the dimension be x and y.

So, we have:

\mathbf{A = xy = 1000}

Make x the subject

\mathbf{x = \frac{1000}{y}}

The perimeter is calculated as:

\mathbf{P = 2(x + y)}

Substitute \mathbf{x = \frac{1000}{y}}

\mathbf{P = 2(\frac{1000}{y} + y)}

Expand

\mathbf{P = \frac{2000}{y} + 2y}

Differentiate

\mathbf{P' = -\frac{2000}{y^2} + 2}

Set to 0

\mathbf{ -\frac{2000}{y^2} + 2 = 0}

Rewrite as:

\mathbf{ -\frac{2000}{y^2}  = -2}

Divide both sides by -1

\mathbf{\frac{2000}{y^2}  = 2}

Multiply y^2

\mathbf{2000  = 2y^2}

Divide by 2

\mathbf{1000  = y^2}

Take square roots of both sides

\mathbf{y = \sqrt{1000 }}

\mathbf{y = 10\sqrt{10 }}

Substitute \mathbf{y = \sqrt{1000 }} in \mathbf{x = \frac{1000}{y}}

\mathbf{x = \frac{1000}{\sqrt{1000}}}

\mathbf{x = \sqrt{1000}}

\mathbf{x = 10\sqrt{10 }}

Hence, the dimensions that minimize the perimeter are \mathbf{10\sqrt{10 },10\sqrt{10 }}

Read more about perimeters at:

brainly.com/question/6465134

8 0
2 years ago
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