1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ganezh [65]
3 years ago
9

Please solve this question. ​

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0
<h3><u>Answer</u> :</h3>

Let numerator of fraction be x and denominator be y.

∴ Fraction = x/y

★ <u>Part - A</u> :

:\implies\tt\:\dfrac{x\times 4}{y-2}=2

:\implies\tt\:4x=2(y-2)

:\implies\tt\:4x=2y-4

:\implies\tt\:2y=4x+4

:\implies\bf\:y=2x+2\:\:\dots (1)

★ <u>Part</u><u> </u><u>-</u><u> </u><u>B</u> :

:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}

:\implies\tt\:7(x+15)=9(2y-2)

:\implies\tt\:7x+105=18y-18

From equation (1)...

:\implies\tt\:7x+105=18(2x+2)-18

:\implies\tt\:7x+105=36x+38-18

:\implies\tt\:29x=105-18

:\implies\tt\:x=\dfrac{87}{29}

:\implies\boxed{\bf{x=3}}

:\implies\tt\:y=2x+2

:\implies\tt\:y=2(3)+2

:\implies\boxed{\bf{y=8}}

∴ Fraction = x/y = 3/8

<h3>Hope It Helps!</h3>
nika2105 [10]3 years ago
3 0

Answer:  3/8

<u>Step-by-step explanation:</u>

Let x represent the numerator and y represent the denominator.

Equation 1: (4x)/(y - 2) = 2

                  4x = 2(y - 2)        Cross Multiplied

                  4x = 2y - 4           Distributed

                  4x - 2y = -4          Subtracted 2y from both sides

Equation 2: (x + 15)/(2y - 2) = 9/7

                  9(2y - 2) = 7(x+15)           Cross Multiplied

                  18y - 18 = 7x + 105          Distributed

                  -7x + 18y - 18  = 105        Subtracted 7x from both sides

                  -7x + 18y = 123                Added 18 to both sides

Solve the system of equations using Elimination Method:

EQ1:    4x - 2y =  -4     →    9(4x - 2y =  -4)     →      36x - 18y =  -36

EQ2: -7x + 18y = 123   →   1(-7x + 18y = 123)  →     <u>  -7x + 18y</u> = <u>123  </u>

                                                                              29x          =  87

                                                                           <u> ÷29    </u>          <u>÷29 </u>

                                                                                  x         =  3

Substitute x = 3 into either equation to solve for y:

EQ1: 4x - 2y = -4

      4(3) - 2y = -4

       12  - 2y = -4

            -2y  = -16

              y  =   8

The numerator (x) = 3

The denominator (y) = 8

The fraction is: 3/8

       

You might be interested in
What is the value of /E/ +/F/, A.-9 B.-11 C.11 D.9?
Furkat [3]

Answer:


Step-by-step explanation:

|E| + |F|

|1| + |-10|=11

Answer=11

7 0
4 years ago
What is h−(−2.22)=−7.851 someone please help me
telo118 [61]

Answer:

h=-10.071?

Step-by-step explanation:

7 0
3 years ago
Which number is a perfect square<br> 32<br> 144<br> 1000<br> 36000
galben [10]
144 is a square of 12

Hope this helps!
4 0
3 years ago
Read 2 more answers
Given ABD =≈ CBD
vredina [299]

Answer:

AD BC only

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the quotient 5/28 divided by 1/7
devlian [24]

The answer is: 1.25

Remember: Keep the first fraction, Change the Sign, Flip the second fraction.

KEEP - 5/28

CHANGE - division to multiplication

FLIP - 7/1

8 0
3 years ago
Read 2 more answers
Other questions:
  • Camille bought 10 tickets to the play and 5 parking permits. She spent $145.50 on tickets to the play and $50.75 on parking perm
    6·2 answers
  • How to solve linear and nonlinear equations graphically?
    10·1 answer
  • Ron bought 40 pen sets and sold 25. This year he bought 75 pen sets and sold 60. The absolute error each year was the same. Are
    15·2 answers
  • Tiger cubs are around 2 years old when they leave their mothers. In the wild, tigers live about 11 years. About what percent of
    6·1 answer
  • Students on a field trip at an amusement park were asked their grade in school. The table shows the results of the survey.
    9·2 answers
  • The back yard at Mr. Smith's house is 16 ft. wide 10 ft. long. What is the perimeter of his back yard?
    5·2 answers
  • Divide. Choose the answer in simplest form.<br> 2 1/6
    13·1 answer
  • The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 mil
    11·1 answer
  • 46°<br> Х<br> x<br> X =<br> degrees.
    13·2 answers
  • 10(8x^2-8x)<br> 10(8x <br> 2<br> −8x)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!