COULD SOME OF WITH DEGREE IN MATHS HELP ME TO SOLVE THIS SIMULTANEOUS EQUATION PLEASE, PLEASE ?

Question

I HAVE RIED DIFFERENT METHODS BUT IT CANNOT GET THE CORRECT ANSWER, AS IN THE BOOK.
X-3/4 -Y-2/5 = -1/4 (1)

4-X/3+ 3-Y/2 = - 13/20 (2)

5x-15-4y+8= -1
5x-4y=17-1

8-2x+9-3y= -13
-2x-3y= 17-13
-2x -3y= 4

10x-8y= 32
-6x-9y = 4

4x+y= 12

thank
mohammad from uk london

Answer 1

Hard to tell, but it appears that you have

(x-3)/4 - (y-2)/5 = -1/4
(4-x)/3 + (3-y)/2 = -13/20
which is the same as
5x - 4y = 2
20x + 30y = 209

20x-16y = 8
20x+30y = 209

46y = 201

so,

x = 448/115
y = 201/46

Hmmm. Maybe you had

x - 3/4 - y - 2/5 = -1/4
4 - x/3 + 3 - y/2 = -13/20
Clearing fractions, we have
10x-10y = 9
20x+30y = 459

x = 243/25
y = 441/50