Question

Solve for x and y 4x+6/y = 15 , 6x-8/y =14 and hence find the value of p when you=px-2

Answer 1

Answer:

p = -55 , y = 38/13 , x = 81/13

Step-by-step explanation:

4x + 6y = 15

2(2x + 3y) = 15

2x + 3y = 15/2

2x = 15/2 - 3y

x = (15/2 - 3y)/2

x = 15 - 3y  ⇒ (i)

6x - 8y = 14

2(3x - 4y) = 14

3x - 4y = 14/2

3x - 4y = 7 ⇒ (ii)

Substituting value of x in equation (ii)

3(15 - 3y) - 4y = 7

45 - 9y - 4y = 7

45 - 13y = 7

-13y = - 38

13y = 38

y = 38/13

Now in equation (ii),

3x - 4y = 7

3x - 4(38/13) = 7

3x - 152/13 = 7

3x = 91/13 + 152/13

3x = 243/13

x = 81/13

Subtituting value of x in the equation of px - 2 = 0

p(81/13) - 2 = 0

81p/13 = 2

81p = 26

p = 26 - 81

p = -55

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