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2 years ago

Simultaneous Equation

Mathematics

2 answers:

cupoosta [38]2 years ago

8 0

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=13;5x−4y=13

Step 1: Solve 2x+y=13 for y:

Solve 2x + y = 13 for y

2x + y + -2x = 13 + -2x

(add -2x to both sides)

y = -2x + 13

Step 2: Substitute −2x+13 for y in 5x−4y=13:

5x−4y=13

5x−4(−2x+13)=13

13x−52=13(Simplify both sides of the equation)

13x−52+52=13+52(Add 52 to both sides)

13x=65

(Divide both sides by 13)

13x/13 = 65/13

x = 5

Step 3: Substitute 5 for x in y = −2x+13:

y = −2x+13

y = (−2)(5)+13

(Simplify both sides of the equation)

y = 3

Answer: x= 5, y= 3

makkiz [27]2 years ago

7 0

Answer:

x = 5 ,

y = 3

Use substitution method .

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alexira [117]

Answer:

Step-by-step explanation:

let the speed of one plane=x

speed of other plane=x+80

time=4 hrs

then 4x+4(x+80)=3800

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8x=3800-320

or 8x=3480

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Let he walks x hrs

then he take a taxi for 2-x hrs

4x+(2-x)50=31

4x+100-50x=31

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so he walks 3/2 hrs=1.5 hrs

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3 years ago

Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)

Likurg_2 [28]

Answer:

$d = 14$

$(-2,-1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

<u>Step 1: Define</u>

(5, -1)

(-9, -1)

<u>Step 2: Find distance </u><em><u>d</u></em>

Substitute: $d = \sqrt{(-9-5)^2+(-1-(-1))^2}$
Simplify: $d = \sqrt{(-9-5)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-14)^2+(0)^2}$
Evaluate: $d = \sqrt{196}$
Evaluate: $d = \14$

<u>Step 3: Find Midpoint</u>

Substitute: $(\frac{5-9}{2},\frac{-1-1}{2})$
Subtract: $(\frac{-4}{2},\frac{-2}{2})$
Divide: $(-2,-1)$

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Answer:

B is correct

Step-by-step explanation:

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2 years ago

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elixir [45]

Answer:

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Step-by-step explanation:

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2 years ago

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Elanso [62]

Answer:

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Step-by-step explanation:

Given that " The least-squares regression line "

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Therefore option B) is correct

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2 years ago