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3 years ago

Solve the following system of equations. 2x + y = 3 x = 2y - 1

2 answers:

8 0

Using the substitution method.

2x + y = 3
x = 2y -1 Since x has been isolated already plug it into Equation 1

2(2y - 1) + y = 3 Solve for y.
4y - 2 + y = 3
<u> +2 +2 </u> Combine like terms and isolate y.
4y + y = 5
5y = 5 Isolate y by dividing both sides by 5
5y/5 = 5/5
y = 1

With y solved, solve either system for x.

x = 2(1) - 1
x = 2-1
x = 1

Solution is (1,1)

Shalnov [3]3 years ago

7 0

2(2y-1)+y=3
y=1
x=2 x1 - 1
x=1

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

3 years ago

Read 2 more answers

Kayden is the youngest of four siblings whose ages are consecutive integers. if the sum of their ages is 90, find kayden's age.

NISA [10]

Based on the fact that Kayden is the youngest and their ages are consecutive and add up to 90, the Kayden is 21.

<h3>How old is Kayden?</h3>

To find Kayden's age, assume that it is x and use the formula:

90 = x + (x + 1) + (x +2) + (x +3)

Solving for x gives:

90 = 4x + 6

4x = 90 - 6

x = 84 / 4

x = 21

Find out more on solving for age at brainly.com/question/11757623

#SPJ4

6 0

1 year ago

Convert 2.41 x 10^5 to a normal number

Alja [10]

Answer:

241,000

Step-by-step explanation:

first, you convert 10^5 into a normal number. you will get 100,000 because you add 5 zeroes to the number 1. then you have 2.41. you just move the decimal point to the right 5 times because there are 5 zeroes in 100,000. the answer is 241,000

3 0

3 years ago

Here's a graph of a linear function. help

Nostrana [21]

Answer:

its leaner at -4

Step-by-step explanation:

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2 years ago

Express 18 as a fraction of 27. <br> Give your answer in its simplest form

den301095 [7]

Answer:

Thus, 2/3 is the simplified fraction for 18/27 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 18/27 by using the prime factorization method

Step-by-step explanation:

hope l am not late!

6 0

3 years ago