solve the simultaneously equation 3x-6/4+3-5y-4/2=5y/2;y-x/4+x/8-7x-5y/3=y-2x
Answers
Answer:
Step-by-step explanation: 3x-6/4+3 -5y -4/2 =5y
by taking L.C.M
=3x-6 +3(4)-2(5y-4)/4 =5y
=3x-6 +12 -10 y +8 =5y(4)=3x - 10 y + 14 =20 y
3x - 10 y -20 y =14=3x -30y = 14 =3(x-10)=14 ;
y-x /4 + x/8 -7x - 5 y /3 y -2x =6(y -x) +3 x - 8 (7x - 5 )y =y -2x
= 6y -6x + 3 x -56x + 40 y =24 y - 48x
=46 y -59 x = 24 y -48 x=46 y - 24 y = -48 x +59 x
=22y = 11 x
= 22y -11 x=0
Answer:
3x-6+12-2(5y-4)/4=5y/2
2(3x-6+12-10y+8)=5y×4
2(3x-10y+14)=20y
6x-20y+28=20y
6x-20y-20y= -28
6x-40y= -28
Now divide by 2
3x-20y= -14
y-x/4+x/8 -7x-5y/3=y - 2x
6(y-x)+3x-8(7x-5y)= y-2x
6y - 6x+3x-56x + 40y=24(y-2x)
46y-62x +3x=24y - 48x
46y - 59x = 24y - 48x
-11x = - 22y
- 11x + 22y= 0
divide by 11
- x + 2y = 0_eq2
3x -20y= - 14_eq1
- x + 2y = 0_eq2×3
Now subtract eq1 from eq2
3x - 20y = 14
-3x + 6y= 0
- 14y = -14
y = 1
Now from eq 2
-x + 2y = 0
- x +2×1 =0
- x+2=0
- x = -2
x= 2
y = 1