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JulijaS [17]
3 years ago
7

Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.

Mathematics
2 answers:
Marysya12 [62]3 years ago
3 0
Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.

2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3

x=3
Zinaida [17]3 years ago
3 0

Answer:

See below ↓

Step-by-step explanation:

Let's find the x and y values.

<u>Step 1 : Equate the y expressions.</u>

  • The two equations have given different values for y
  • Therefore by equating them, we can solve for x
  • 2x - 5 = -2/3x + 3

<u>Step 2 : Convert fractions in the equation to whole numbers.</u>

  • The value -2/3 is a fraction
  • We can make it a whole number if multiply throughout by the value of its denominator ⇒ 3
  • 3(2x - 5) = 3(-2/3x + 3)
  • 6x - 15 = -2x + 9

<u>Step 3 : Bring x terms to one side and constant terms to the other.</u>

  • 6x + 2x = 9 + 15
  • 8x = 24
  • <u>x = 3</u>

<u></u>

<u>Step 4 : Solve for y by plugging the value of x into one of the given equations.</u>

  • y = 2(3) - 5
  • y = 6 - 5
  • <u>y = 1</u>
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Find dy/dx for (y^2/x) = 18 by implicit differentiation
Natasha2012 [34]

9514 1404 393

Answer:

  dy/dx = y/(2x)

Step-by-step explanation:

The product formula can be used, along with the power rule.

  d(uv) = du·v +u·dv

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  d(y^2/x) = d(18)

  2y·dy/x -y^2/x^2·dx = 0

  2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y

  dy/dx = y/(2x) . . . . . . . . add y·dx, divide by 2x·dx

6 0
3 years ago
Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.
My name is Ann [436]

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


5 0
3 years ago
Read 2 more answers
Solve the equation. Write your answer as an integer or simplified fraction.
saw5 [17]

<u>Corrected question :</u>

Solve the equation. Write your answer as an integer or simplified fraction.

  • 8n - 7 (n - 2) = 18

<u>Required Solution :</u>

The given equation,

  • 8n - 7 (n - 2) = 18

★ Multiplying -7 into (n - 2),

>> 8n - 7 × (n - 2) = 18

>> 8n - 7n + 14 = 18

★ On substracting 7n from 8n we gets,

>> n + 14 = 18

★ Now transposing 14 which is in L.H.S. into R.H.S. (Remember that sign would be . So 14 would be -14),

>> n = 18 - 14

>> n = 14

★ Therefore,

  • Value of n is 14.

<u>Learn</u><u> more</u><u> from</u><u> brainly</u><u>.</u><u>c</u><u>o</u><u>m</u><u> </u><u>:</u>

brainly.com/question/27432186

brainly.com/question/22661149

brainly.com/question/26727230

6 0
2 years ago
Please help !!!!!!!!!!
Vesna [10]

Answer:

(2, 2) states x=2 and y=2

Considering the inequality:

y\leq 4x-6

Is y less than or equal to 2 when x = 2?

2\leq 4(2)-6\\2\leq 8-6\\2\leq 2\\

Yes, (2, 2) is a solution for the inequality.

4 0
3 years ago
Which equation has exactly one solution in common with the equation y=6x-2?
evablogger [386]
A because i did the maths and its A
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3 years ago
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