Math, asked by imansasaif, 5 months ago

if the equations 4x-5y+14 and 5x-4y+13 are simultaneously true, then x-y=?

Answers

Answered by yashupadhyay100
1

Step-by-step explanation:

GIVEN: 4X-5Y+14=5X-4Y+13

FIRST REDUCING THE NON-APLHABETICAL NUMBERS

=> 4X-5Y+1=5X-4Y

=> MAKING X EQUAL:LCM:20

=> 5(4X-5Y+1)=4(5X-4Y)

=>20X-25Y+5 = 20X-16Y

CANCELLING 20X ON BOTH SIDES

=> -25Y+5=(-16Y)= -25Y+16Y= 5

=> -9Y = 5

NOW SATISFYING EQUATION IF 9Y = -5

MAKING Y EQUAL NOW

4(4X-5Y+1)=5(5X-4Y)

16X-20Y+1=25X-20Y

CANCELLING -20Y ON BOTH SIDEZ

16X+1=25X

25X-16X=1

9X=1

NOW BOTH VALUES X=1/9 AND Y = -5/9

OUR EQUATION = 1/9 - -5/9

=> 1/9+5/9 = 6/9 = 2/3 IN FRACTION FORM OR 0.66 IN DECIMAL FORM

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